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Finding the Third Proportional to 141,792 and 309,340

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Solution

The third proportional to 141,792 and 309,340 is: 674,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,792 : 309,340 = 309,340 : x
  2. Step 2: Convert to fraction form
    141,792/309,340 = 309,340/x
  3. Step 3: Cross multiply
    141,792x = 309,340 × 309,340
  4. Step 4: Simplify right side
    141,792x = 95,691,235,600
  5. Step 5: Solve for x
    x = 95,691,235,600/141,792
  6. Step 6: Final answer
    x = 674,870.48

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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.