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Finding the Third Proportional to 141,788 and 309,334

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Solution

The third proportional to 141,788 and 309,334 is: 674,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,788 : 309,334 = 309,334 : x
  2. Step 2: Convert to fraction form
    141,788/309,334 = 309,334/x
  3. Step 3: Cross multiply
    141,788x = 309,334 × 309,334
  4. Step 4: Simplify right side
    141,788x = 95,687,523,556
  5. Step 5: Solve for x
    x = 95,687,523,556/141,788
  6. Step 6: Final answer
    x = 674,863.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.