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Finding the Third Proportional to 153,337.50 and 232,773.75

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Solution

The third proportional to 153,337.50 and 232,773.75 is: 353,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,337.50 : 232,773.75 = 232,773.75 : x
  2. Step 2: Convert to fraction form
    153,337.50/232,773.75 = 232,773.75/x
  3. Step 3: Cross multiply
    153,337.50x = 232,773.75 × 232,773.75
  4. Step 4: Simplify right side
    153,337.50x = 54,183,618,689.06
  5. Step 5: Solve for x
    x = 54,183,618,689.06/153,337.50
  6. Step 6: Final answer
    x = 353,361.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.