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Finding the Third Proportional to 250,202 and 387,996

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Solution

The third proportional to 250,202 and 387,996 is: 601,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,202 : 387,996 = 387,996 : x
  2. Step 2: Convert to fraction form
    250,202/387,996 = 387,996/x
  3. Step 3: Cross multiply
    250,202x = 387,996 × 387,996
  4. Step 4: Simplify right side
    250,202x = 150,540,896,016
  5. Step 5: Solve for x
    x = 150,540,896,016/250,202
  6. Step 6: Final answer
    x = 601,677.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.