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Finding the Third Proportional to 138,939.28 and 298,943.53

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Solution

The third proportional to 138,939.28 and 298,943.53 is: 643,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,939.28 : 298,943.53 = 298,943.53 : x
  2. Step 2: Convert to fraction form
    138,939.28/298,943.53 = 298,943.53/x
  3. Step 3: Cross multiply
    138,939.28x = 298,943.53 × 298,943.53
  4. Step 4: Simplify right side
    138,939.28x = 89,367,234,876.22
  5. Step 5: Solve for x
    x = 89,367,234,876.22/138,939.28
  6. Step 6: Final answer
    x = 643,210.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.