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Finding the Third Proportional to 243,412 and 363,092

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Solution

The third proportional to 243,412 and 363,092 is: 541,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,412 : 363,092 = 363,092 : x
  2. Step 2: Convert to fraction form
    243,412/363,092 = 363,092/x
  3. Step 3: Cross multiply
    243,412x = 363,092 × 363,092
  4. Step 4: Simplify right side
    243,412x = 131,835,800,464
  5. Step 5: Solve for x
    x = 131,835,800,464/243,412
  6. Step 6: Final answer
    x = 541,615.86

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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.