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Finding the Third Proportional to 181,582 and 280,031

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Solution

The third proportional to 181,582 and 280,031 is: 431,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,582 : 280,031 = 280,031 : x
  2. Step 2: Convert to fraction form
    181,582/280,031 = 280,031/x
  3. Step 3: Cross multiply
    181,582x = 280,031 × 280,031
  4. Step 4: Simplify right side
    181,582x = 78,417,360,961
  5. Step 5: Solve for x
    x = 78,417,360,961/181,582
  6. Step 6: Final answer
    x = 431,856.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.