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Finding the Third Proportional to 155,257.13 and 332,647.50

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Solution

The third proportional to 155,257.13 and 332,647.50 is: 712,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,257.13 : 332,647.50 = 332,647.50 : x
  2. Step 2: Convert to fraction form
    155,257.13/332,647.50 = 332,647.50/x
  3. Step 3: Cross multiply
    155,257.13x = 332,647.50 × 332,647.50
  4. Step 4: Simplify right side
    155,257.13x = 110,654,359,256.25
  5. Step 5: Solve for x
    x = 110,654,359,256.25/155,257.13
  6. Step 6: Final answer
    x = 712,716.79

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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.