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Finding the Third Proportional to 153,839.25 and 232,813.13

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Solution

The third proportional to 153,839.25 and 232,813.13 is: 352,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,839.25 : 232,813.13 = 232,813.13 : x
  2. Step 2: Convert to fraction form
    153,839.25/232,813.13 = 232,813.13/x
  3. Step 3: Cross multiply
    153,839.25x = 232,813.13 × 232,813.13
  4. Step 4: Simplify right side
    153,839.25x = 54,201,951,172.27
  5. Step 5: Solve for x
    x = 54,201,951,172.27/153,839.25
  6. Step 6: Final answer
    x = 352,328.49

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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.