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Finding the Third Proportional to 136,048.50 and 317,695.25

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Solution

The third proportional to 136,048.50 and 317,695.25 is: 741,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,048.50 : 317,695.25 = 317,695.25 : x
  2. Step 2: Convert to fraction form
    136,048.50/317,695.25 = 317,695.25/x
  3. Step 3: Cross multiply
    136,048.50x = 317,695.25 × 317,695.25
  4. Step 4: Simplify right side
    136,048.50x = 100,930,271,872.56
  5. Step 5: Solve for x
    x = 100,930,271,872.56/136,048.50
  6. Step 6: Final answer
    x = 741,869.79

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Why These Related Problems?

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