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Finding the Third Proportional to 141,416 and 204,508

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Solution

The third proportional to 141,416 and 204,508 is: 295,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,416 : 204,508 = 204,508 : x
  2. Step 2: Convert to fraction form
    141,416/204,508 = 204,508/x
  3. Step 3: Cross multiply
    141,416x = 204,508 × 204,508
  4. Step 4: Simplify right side
    141,416x = 41,823,522,064
  5. Step 5: Solve for x
    x = 41,823,522,064/141,416
  6. Step 6: Final answer
    x = 295,748.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.