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Finding the Third Proportional to 182,452 and 272,943

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Solution

The third proportional to 182,452 and 272,943 is: 408,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,452 : 272,943 = 272,943 : x
  2. Step 2: Convert to fraction form
    182,452/272,943 = 272,943/x
  3. Step 3: Cross multiply
    182,452x = 272,943 × 272,943
  4. Step 4: Simplify right side
    182,452x = 74,497,881,249
  5. Step 5: Solve for x
    x = 74,497,881,249/182,452
  6. Step 6: Final answer
    x = 408,314.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.