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Finding the Third Proportional to 206,691 and 310,036

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Solution

The third proportional to 206,691 and 310,036 is: 465,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691 : 310,036 = 310,036 : x
  2. Step 2: Convert to fraction form
    206,691/310,036 = 310,036/x
  3. Step 3: Cross multiply
    206,691x = 310,036 × 310,036
  4. Step 4: Simplify right side
    206,691x = 96,122,321,296
  5. Step 5: Solve for x
    x = 96,122,321,296/206,691
  6. Step 6: Final answer
    x = 465,053.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.