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Finding the Third Proportional to 178,634 and 242,591

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Solution

The third proportional to 178,634 and 242,591 is: 329,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,634 : 242,591 = 242,591 : x
  2. Step 2: Convert to fraction form
    178,634/242,591 = 242,591/x
  3. Step 3: Cross multiply
    178,634x = 242,591 × 242,591
  4. Step 4: Simplify right side
    178,634x = 58,850,393,281
  5. Step 5: Solve for x
    x = 58,850,393,281/178,634
  6. Step 6: Final answer
    x = 329,446.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.