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Finding the Third Proportional to 243,714 and 363,534

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Solution

The third proportional to 243,714 and 363,534 is: 542,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,714 : 363,534 = 363,534 : x
  2. Step 2: Convert to fraction form
    243,714/363,534 = 363,534/x
  3. Step 3: Cross multiply
    243,714x = 363,534 × 363,534
  4. Step 4: Simplify right side
    243,714x = 132,156,969,156
  5. Step 5: Solve for x
    x = 132,156,969,156/243,714
  6. Step 6: Final answer
    x = 542,262.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.