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Finding the Third Proportional to 131,658 and 204,233

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Solution

The third proportional to 131,658 and 204,233 is: 316,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,658 : 204,233 = 204,233 : x
  2. Step 2: Convert to fraction form
    131,658/204,233 = 204,233/x
  3. Step 3: Cross multiply
    131,658x = 204,233 × 204,233
  4. Step 4: Simplify right side
    131,658x = 41,711,118,289
  5. Step 5: Solve for x
    x = 41,711,118,289/131,658
  6. Step 6: Final answer
    x = 316,814.16

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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.