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Finding the Third Proportional to 138,148 and 206,367

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Solution

The third proportional to 138,148 and 206,367 is: 308,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,148 : 206,367 = 206,367 : x
  2. Step 2: Convert to fraction form
    138,148/206,367 = 206,367/x
  3. Step 3: Cross multiply
    138,148x = 206,367 × 206,367
  4. Step 4: Simplify right side
    138,148x = 42,587,338,689
  5. Step 5: Solve for x
    x = 42,587,338,689/138,148
  6. Step 6: Final answer
    x = 308,273.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.