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Finding the Third Proportional to 118,327.50 and 253,471.50

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Solution

The third proportional to 118,327.50 and 253,471.50 is: 542,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,327.50 : 253,471.50 = 253,471.50 : x
  2. Step 2: Convert to fraction form
    118,327.50/253,471.50 = 253,471.50/x
  3. Step 3: Cross multiply
    118,327.50x = 253,471.50 × 253,471.50
  4. Step 4: Simplify right side
    118,327.50x = 64,247,801,312.25
  5. Step 5: Solve for x
    x = 64,247,801,312.25/118,327.50
  6. Step 6: Final answer
    x = 542,965.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.