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Finding the Third Proportional to 84,000.38 and 175,780.13

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Solution

The third proportional to 84,000.38 and 175,780.13 is: 367,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,000.38 : 175,780.13 = 175,780.13 : x
  2. Step 2: Convert to fraction form
    84,000.38/175,780.13 = 175,780.13/x
  3. Step 3: Cross multiply
    84,000.38x = 175,780.13 × 175,780.13
  4. Step 4: Simplify right side
    84,000.38x = 30,898,652,345.02
  5. Step 5: Solve for x
    x = 30,898,652,345.02/84,000.38
  6. Step 6: Final answer
    x = 367,839.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.