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Finding the Third Proportional to 138,710 and 206,785

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Solution

The third proportional to 138,710 and 206,785 is: 308,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,710 : 206,785 = 206,785 : x
  2. Step 2: Convert to fraction form
    138,710/206,785 = 206,785/x
  3. Step 3: Cross multiply
    138,710x = 206,785 × 206,785
  4. Step 4: Simplify right side
    138,710x = 42,760,036,225
  5. Step 5: Solve for x
    x = 42,760,036,225/138,710
  6. Step 6: Final answer
    x = 308,269.31

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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.