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Finding the Third Proportional to 136,048.36 and 317,694.66

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Solution

The third proportional to 136,048.36 and 317,694.66 is: 741,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,048.36 : 317,694.66 = 317,694.66 : x
  2. Step 2: Convert to fraction form
    136,048.36/317,694.66 = 317,694.66/x
  3. Step 3: Cross multiply
    136,048.36x = 317,694.66 × 317,694.66
  4. Step 4: Simplify right side
    136,048.36x = 100,929,894,609.81
  5. Step 5: Solve for x
    x = 100,929,894,609.81/136,048.36
  6. Step 6: Final answer
    x = 741,867.78

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.