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Finding the Third Proportional to 107,182.50 and 239,737.50

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Solution

The third proportional to 107,182.50 and 239,737.50 is: 536,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,182.50 : 239,737.50 = 239,737.50 : x
  2. Step 2: Convert to fraction form
    107,182.50/239,737.50 = 239,737.50/x
  3. Step 3: Cross multiply
    107,182.50x = 239,737.50 × 239,737.50
  4. Step 4: Simplify right side
    107,182.50x = 57,474,068,906.25
  5. Step 5: Solve for x
    x = 57,474,068,906.25/107,182.50
  6. Step 6: Final answer
    x = 536,226.24

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.