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Finding the Third Proportional to 136,171.13 and 288,534.38

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Solution

The third proportional to 136,171.13 and 288,534.38 is: 611,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,171.13 : 288,534.38 = 288,534.38 : x
  2. Step 2: Convert to fraction form
    136,171.13/288,534.38 = 288,534.38/x
  3. Step 3: Cross multiply
    136,171.13x = 288,534.38 × 288,534.38
  4. Step 4: Simplify right side
    136,171.13x = 83,252,085,556.64
  5. Step 5: Solve for x
    x = 83,252,085,556.64/136,171.13
  6. Step 6: Final answer
    x = 611,378.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.