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Finding the Third Proportional to 138,366 and 202,614

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Solution

The third proportional to 138,366 and 202,614 is: 296,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,366 : 202,614 = 202,614 : x
  2. Step 2: Convert to fraction form
    138,366/202,614 = 202,614/x
  3. Step 3: Cross multiply
    138,366x = 202,614 × 202,614
  4. Step 4: Simplify right side
    138,366x = 41,052,432,996
  5. Step 5: Solve for x
    x = 41,052,432,996/138,366
  6. Step 6: Final answer
    x = 296,694.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.