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Finding the Third Proportional to 83,750.25 and 182,263.50

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Solution

The third proportional to 83,750.25 and 182,263.50 is: 396,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,750.25 : 182,263.50 = 182,263.50 : x
  2. Step 2: Convert to fraction form
    83,750.25/182,263.50 = 182,263.50/x
  3. Step 3: Cross multiply
    83,750.25x = 182,263.50 × 182,263.50
  4. Step 4: Simplify right side
    83,750.25x = 33,219,983,432.25
  5. Step 5: Solve for x
    x = 33,219,983,432.25/83,750.25
  6. Step 6: Final answer
    x = 396,655.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.