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Finding the Third Proportional to 83,555 and 180,425.50

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Solution

The third proportional to 83,555 and 180,425.50 is: 389,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,555 : 180,425.50 = 180,425.50 : x
  2. Step 2: Convert to fraction form
    83,555/180,425.50 = 180,425.50/x
  3. Step 3: Cross multiply
    83,555x = 180,425.50 × 180,425.50
  4. Step 4: Simplify right side
    83,555x = 32,553,361,050.25
  5. Step 5: Solve for x
    x = 32,553,361,050.25/83,555
  6. Step 6: Final answer
    x = 389,603.99

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