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Finding the Third Proportional to 131,730 and 204,353

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Solution

The third proportional to 131,730 and 204,353 is: 317,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,730 : 204,353 = 204,353 : x
  2. Step 2: Convert to fraction form
    131,730/204,353 = 204,353/x
  3. Step 3: Cross multiply
    131,730x = 204,353 × 204,353
  4. Step 4: Simplify right side
    131,730x = 41,760,148,609
  5. Step 5: Solve for x
    x = 41,760,148,609/131,730
  6. Step 6: Final answer
    x = 317,013.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.