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Finding the Third Proportional to 138,202 and 285,128

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Solution

The third proportional to 138,202 and 285,128 is: 588,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,202 : 285,128 = 285,128 : x
  2. Step 2: Convert to fraction form
    138,202/285,128 = 285,128/x
  3. Step 3: Cross multiply
    138,202x = 285,128 × 285,128
  4. Step 4: Simplify right side
    138,202x = 81,297,976,384
  5. Step 5: Solve for x
    x = 81,297,976,384/138,202
  6. Step 6: Final answer
    x = 588,254.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.