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Finding the Third Proportional to 138,202 and 286,244

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Solution

The third proportional to 138,202 and 286,244 is: 592,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,202 : 286,244 = 286,244 : x
  2. Step 2: Convert to fraction form
    138,202/286,244 = 286,244/x
  3. Step 3: Cross multiply
    138,202x = 286,244 × 286,244
  4. Step 4: Simplify right side
    138,202x = 81,935,627,536
  5. Step 5: Solve for x
    x = 81,935,627,536/138,202
  6. Step 6: Final answer
    x = 592,868.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.