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Finding the Third Proportional to 141,448 and 307,436

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Solution

The third proportional to 141,448 and 307,436 is: 668,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,448 : 307,436 = 307,436 : x
  2. Step 2: Convert to fraction form
    141,448/307,436 = 307,436/x
  3. Step 3: Cross multiply
    141,448x = 307,436 × 307,436
  4. Step 4: Simplify right side
    141,448x = 94,516,894,096
  5. Step 5: Solve for x
    x = 94,516,894,096/141,448
  6. Step 6: Final answer
    x = 668,209.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.