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Finding the Third Proportional to 242,564 and 361,474

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Solution

The third proportional to 242,564 and 361,474 is: 538,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564 : 361,474 = 361,474 : x
  2. Step 2: Convert to fraction form
    242,564/361,474 = 361,474/x
  3. Step 3: Cross multiply
    242,564x = 361,474 × 361,474
  4. Step 4: Simplify right side
    242,564x = 130,663,452,676
  5. Step 5: Solve for x
    x = 130,663,452,676/242,564
  6. Step 6: Final answer
    x = 538,676.20

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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.