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Finding the Third Proportional to 181,885.50 and 424,713.38

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Solution

The third proportional to 181,885.50 and 424,713.38 is: 991,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,885.50 : 424,713.38 = 424,713.38 : x
  2. Step 2: Convert to fraction form
    181,885.50/424,713.38 = 424,713.38/x
  3. Step 3: Cross multiply
    181,885.50x = 424,713.38 × 424,713.38
  4. Step 4: Simplify right side
    181,885.50x = 180,381,450,903.89
  5. Step 5: Solve for x
    x = 180,381,450,903.89/181,885.50
  6. Step 6: Final answer
    x = 991,730.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.