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Finding the Third Proportional to 140,539.50 and 224,781.75

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Solution

The third proportional to 140,539.50 and 224,781.75 is: 359,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,539.50 : 224,781.75 = 224,781.75 : x
  2. Step 2: Convert to fraction form
    140,539.50/224,781.75 = 224,781.75/x
  3. Step 3: Cross multiply
    140,539.50x = 224,781.75 × 224,781.75
  4. Step 4: Simplify right side
    140,539.50x = 50,526,835,133.06
  5. Step 5: Solve for x
    x = 50,526,835,133.06/140,539.50
  6. Step 6: Final answer
    x = 359,520.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.