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Finding the Third Proportional to 83,265 and 180,563

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Solution

The third proportional to 83,265 and 180,563 is: 391,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265 : 180,563 = 180,563 : x
  2. Step 2: Convert to fraction form
    83,265/180,563 = 180,563/x
  3. Step 3: Cross multiply
    83,265x = 180,563 × 180,563
  4. Step 4: Simplify right side
    83,265x = 32,602,996,969
  5. Step 5: Solve for x
    x = 32,602,996,969/83,265
  6. Step 6: Final answer
    x = 391,557.04

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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.