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Finding the Third Proportional to 181,404 and 283,510.13

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Solution

The third proportional to 181,404 and 283,510.13 is: 443,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,404 : 283,510.13 = 283,510.13 : x
  2. Step 2: Convert to fraction form
    181,404/283,510.13 = 283,510.13/x
  3. Step 3: Cross multiply
    181,404x = 283,510.13 × 283,510.13
  4. Step 4: Simplify right side
    181,404x = 80,377,990,977.52
  5. Step 5: Solve for x
    x = 80,377,990,977.52/181,404
  6. Step 6: Final answer
    x = 443,088.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.