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Finding the Third Proportional to 138,140 and 206,357

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Solution

The third proportional to 138,140 and 206,357 is: 308,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,140 : 206,357 = 206,357 : x
  2. Step 2: Convert to fraction form
    138,140/206,357 = 206,357/x
  3. Step 3: Cross multiply
    138,140x = 206,357 × 206,357
  4. Step 4: Simplify right side
    138,140x = 42,583,211,449
  5. Step 5: Solve for x
    x = 42,583,211,449/138,140
  6. Step 6: Final answer
    x = 308,261.27

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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.