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Finding the Third Proportional to 243,696 and 363,522

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Solution

The third proportional to 243,696 and 363,522 is: 542,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,696 : 363,522 = 363,522 : x
  2. Step 2: Convert to fraction form
    243,696/363,522 = 363,522/x
  3. Step 3: Cross multiply
    243,696x = 363,522 × 363,522
  4. Step 4: Simplify right side
    243,696x = 132,148,244,484
  5. Step 5: Solve for x
    x = 132,148,244,484/243,696
  6. Step 6: Final answer
    x = 542,266.78

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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.