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Finding the Third Proportional to 182,272 and 245,374

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Solution

The third proportional to 182,272 and 245,374 is: 330,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,272 : 245,374 = 245,374 : x
  2. Step 2: Convert to fraction form
    182,272/245,374 = 245,374/x
  3. Step 3: Cross multiply
    182,272x = 245,374 × 245,374
  4. Step 4: Simplify right side
    182,272x = 60,208,399,876
  5. Step 5: Solve for x
    x = 60,208,399,876/182,272
  6. Step 6: Final answer
    x = 330,321.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.