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Finding the Third Proportional to 136,488 and 209,079

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Solution

The third proportional to 136,488 and 209,079 is: 320,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,488 : 209,079 = 209,079 : x
  2. Step 2: Convert to fraction form
    136,488/209,079 = 209,079/x
  3. Step 3: Cross multiply
    136,488x = 209,079 × 209,079
  4. Step 4: Simplify right side
    136,488x = 43,714,028,241
  5. Step 5: Solve for x
    x = 43,714,028,241/136,488
  6. Step 6: Final answer
    x = 320,277.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.