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Finding the Third Proportional to 181,709 and 424,424

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Solution

The third proportional to 181,709 and 424,424 is: 991,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,709 : 424,424 = 424,424 : x
  2. Step 2: Convert to fraction form
    181,709/424,424 = 424,424/x
  3. Step 3: Cross multiply
    181,709x = 424,424 × 424,424
  4. Step 4: Simplify right side
    181,709x = 180,135,731,776
  5. Step 5: Solve for x
    x = 180,135,731,776/181,709
  6. Step 6: Final answer
    x = 991,341.83

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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.