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Finding the Third Proportional to 138,524 and 298,236

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Solution

The third proportional to 138,524 and 298,236 is: 642,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524 : 298,236 = 298,236 : x
  2. Step 2: Convert to fraction form
    138,524/298,236 = 298,236/x
  3. Step 3: Cross multiply
    138,524x = 298,236 × 298,236
  4. Step 4: Simplify right side
    138,524x = 88,944,711,696
  5. Step 5: Solve for x
    x = 88,944,711,696/138,524
  6. Step 6: Final answer
    x = 642,088.82

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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.