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Finding the Third Proportional to 154,294.88 and 240,463.69

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Solution

The third proportional to 154,294.88 and 240,463.69 is: 374,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,294.88 : 240,463.69 = 240,463.69 : x
  2. Step 2: Convert to fraction form
    154,294.88/240,463.69 = 240,463.69/x
  3. Step 3: Cross multiply
    154,294.88x = 240,463.69 × 240,463.69
  4. Step 4: Simplify right side
    154,294.88x = 57,822,785,006.10
  5. Step 5: Solve for x
    x = 57,822,785,006.10/154,294.88
  6. Step 6: Final answer
    x = 374,755.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.