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Finding the Third Proportional to 153,842.63 and 232,814.25

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Solution

The third proportional to 153,842.63 and 232,814.25 is: 352,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842.63 : 232,814.25 = 232,814.25 : x
  2. Step 2: Convert to fraction form
    153,842.63/232,814.25 = 232,814.25/x
  3. Step 3: Cross multiply
    153,842.63x = 232,814.25 × 232,814.25
  4. Step 4: Simplify right side
    153,842.63x = 54,202,475,003.06
  5. Step 5: Solve for x
    x = 54,202,475,003.06/153,842.63
  6. Step 6: Final answer
    x = 352,324.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.