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Finding the Third Proportional to 138,631.50 and 207,639.70

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Solution

The third proportional to 138,631.50 and 207,639.70 is: 310,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,631.50 : 207,639.70 = 207,639.70 : x
  2. Step 2: Convert to fraction form
    138,631.50/207,639.70 = 207,639.70/x
  3. Step 3: Cross multiply
    138,631.50x = 207,639.70 × 207,639.70
  4. Step 4: Simplify right side
    138,631.50x = 43,114,246,313.84
  5. Step 5: Solve for x
    x = 43,114,246,313.84/138,631.50
  6. Step 6: Final answer
    x = 310,998.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.