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Finding the Third Proportional to 153,839.88 and 232,885.13

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Solution

The third proportional to 153,839.88 and 232,885.13 is: 352,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,839.88 : 232,885.13 = 232,885.13 : x
  2. Step 2: Convert to fraction form
    153,839.88/232,885.13 = 232,885.13/x
  3. Step 3: Cross multiply
    153,839.88x = 232,885.13 × 232,885.13
  4. Step 4: Simplify right side
    153,839.88x = 54,235,481,446.27
  5. Step 5: Solve for x
    x = 54,235,481,446.27/153,839.88
  6. Step 6: Final answer
    x = 352,545.00

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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.