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Finding the Third Proportional to 181,060 and 397,776

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Solution

The third proportional to 181,060 and 397,776 is: 873,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,060 : 397,776 = 397,776 : x
  2. Step 2: Convert to fraction form
    181,060/397,776 = 397,776/x
  3. Step 3: Cross multiply
    181,060x = 397,776 × 397,776
  4. Step 4: Simplify right side
    181,060x = 158,225,746,176
  5. Step 5: Solve for x
    x = 158,225,746,176/181,060
  6. Step 6: Final answer
    x = 873,885.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.