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Finding the Third Proportional to 129,700.13 and 284,004

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Solution

The third proportional to 129,700.13 and 284,004 is: 621,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,700.13 : 284,004 = 284,004 : x
  2. Step 2: Convert to fraction form
    129,700.13/284,004 = 284,004/x
  3. Step 3: Cross multiply
    129,700.13x = 284,004 × 284,004
  4. Step 4: Simplify right side
    129,700.13x = 80,658,272,016
  5. Step 5: Solve for x
    x = 80,658,272,016/129,700.13
  6. Step 6: Final answer
    x = 621,882.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.