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Finding the Third Proportional to 83,434 and 180,294

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Solution

The third proportional to 83,434 and 180,294 is: 389,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434 : 180,294 = 180,294 : x
  2. Step 2: Convert to fraction form
    83,434/180,294 = 180,294/x
  3. Step 3: Cross multiply
    83,434x = 180,294 × 180,294
  4. Step 4: Simplify right side
    83,434x = 32,505,926,436
  5. Step 5: Solve for x
    x = 32,505,926,436/83,434
  6. Step 6: Final answer
    x = 389,600.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.