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Finding the Third Proportional to 138,479.63 and 207,856.13

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Solution

The third proportional to 138,479.63 and 207,856.13 is: 311,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,479.63 : 207,856.13 = 207,856.13 : x
  2. Step 2: Convert to fraction form
    138,479.63/207,856.13 = 207,856.13/x
  3. Step 3: Cross multiply
    138,479.63x = 207,856.13 × 207,856.13
  4. Step 4: Simplify right side
    138,479.63x = 43,204,168,700.02
  5. Step 5: Solve for x
    x = 43,204,168,700.02/138,479.63
  6. Step 6: Final answer
    x = 311,989.35

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