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Finding the Third Proportional to 136,049 and 317,697

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Solution

The third proportional to 136,049 and 317,697 is: 741,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,049 : 317,697 = 317,697 : x
  2. Step 2: Convert to fraction form
    136,049/317,697 = 317,697/x
  3. Step 3: Cross multiply
    136,049x = 317,697 × 317,697
  4. Step 4: Simplify right side
    136,049x = 100,931,383,809
  5. Step 5: Solve for x
    x = 100,931,383,809/136,049
  6. Step 6: Final answer
    x = 741,875.23

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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.