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Finding the Third Proportional to 83,261.25 and 180,562.50

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Solution

The third proportional to 83,261.25 and 180,562.50 is: 391,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,261.25 : 180,562.50 = 180,562.50 : x
  2. Step 2: Convert to fraction form
    83,261.25/180,562.50 = 180,562.50/x
  3. Step 3: Cross multiply
    83,261.25x = 180,562.50 × 180,562.50
  4. Step 4: Simplify right side
    83,261.25x = 32,602,816,406.25
  5. Step 5: Solve for x
    x = 32,602,816,406.25/83,261.25
  6. Step 6: Final answer
    x = 391,572.51

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