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Finding the Third Proportional to 152,549 and 331,343

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Solution

The third proportional to 152,549 and 331,343 is: 719,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,549 : 331,343 = 331,343 : x
  2. Step 2: Convert to fraction form
    152,549/331,343 = 331,343/x
  3. Step 3: Cross multiply
    152,549x = 331,343 × 331,343
  4. Step 4: Simplify right side
    152,549x = 109,788,183,649
  5. Step 5: Solve for x
    x = 109,788,183,649/152,549
  6. Step 6: Final answer
    x = 719,691.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.