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Finding the Third Proportional to 152,932.50 and 242,920.13

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Solution

The third proportional to 152,932.50 and 242,920.13 is: 385,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,932.50 : 242,920.13 = 242,920.13 : x
  2. Step 2: Convert to fraction form
    152,932.50/242,920.13 = 242,920.13/x
  3. Step 3: Cross multiply
    152,932.50x = 242,920.13 × 242,920.13
  4. Step 4: Simplify right side
    152,932.50x = 59,010,187,130.02
  5. Step 5: Solve for x
    x = 59,010,187,130.02/152,932.50
  6. Step 6: Final answer
    x = 385,857.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.