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Finding the Third Proportional to 142,853.63 and 226,010.25

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Solution

The third proportional to 142,853.63 and 226,010.25 is: 357,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,853.63 : 226,010.25 = 226,010.25 : x
  2. Step 2: Convert to fraction form
    142,853.63/226,010.25 = 226,010.25/x
  3. Step 3: Cross multiply
    142,853.63x = 226,010.25 × 226,010.25
  4. Step 4: Simplify right side
    142,853.63x = 51,080,633,105.06
  5. Step 5: Solve for x
    x = 51,080,633,105.06/142,853.63
  6. Step 6: Final answer
    x = 357,573.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.