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Finding the Third Proportional to 192,337.50 and 418,538

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Solution

The third proportional to 192,337.50 and 418,538 is: 910,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,337.50 : 418,538 = 418,538 : x
  2. Step 2: Convert to fraction form
    192,337.50/418,538 = 418,538/x
  3. Step 3: Cross multiply
    192,337.50x = 418,538 × 418,538
  4. Step 4: Simplify right side
    192,337.50x = 175,174,057,444
  5. Step 5: Solve for x
    x = 175,174,057,444/192,337.50
  6. Step 6: Final answer
    x = 910,763.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.