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Finding the Third Proportional to 155,437.50 and 192,844.50

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Solution

The third proportional to 155,437.50 and 192,844.50 is: 239,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,437.50 : 192,844.50 = 192,844.50 : x
  2. Step 2: Convert to fraction form
    155,437.50/192,844.50 = 192,844.50/x
  3. Step 3: Cross multiply
    155,437.50x = 192,844.50 × 192,844.50
  4. Step 4: Simplify right side
    155,437.50x = 37,189,001,180.25
  5. Step 5: Solve for x
    x = 37,189,001,180.25/155,437.50
  6. Step 6: Final answer
    x = 239,253.73

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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.