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Finding the Third Proportional to 97,376 and 204,591

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Solution

The third proportional to 97,376 and 204,591 is: 429,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376 : 204,591 = 204,591 : x
  2. Step 2: Convert to fraction form
    97,376/204,591 = 204,591/x
  3. Step 3: Cross multiply
    97,376x = 204,591 × 204,591
  4. Step 4: Simplify right side
    97,376x = 41,857,477,281
  5. Step 5: Solve for x
    x = 41,857,477,281/97,376
  6. Step 6: Final answer
    x = 429,854.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.