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Finding the Third Proportional to 142,859.25 and 226,017

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Solution

The third proportional to 142,859.25 and 226,017 is: 357,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859.25 : 226,017 = 226,017 : x
  2. Step 2: Convert to fraction form
    142,859.25/226,017 = 226,017/x
  3. Step 3: Cross multiply
    142,859.25x = 226,017 × 226,017
  4. Step 4: Simplify right side
    142,859.25x = 51,083,684,289
  5. Step 5: Solve for x
    x = 51,083,684,289/142,859.25
  6. Step 6: Final answer
    x = 357,580.52

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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.