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Finding the Third Proportional to 147,793 and 317,761

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Solution

The third proportional to 147,793 and 317,761 is: 683,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,793 : 317,761 = 317,761 : x
  2. Step 2: Convert to fraction form
    147,793/317,761 = 317,761/x
  3. Step 3: Cross multiply
    147,793x = 317,761 × 317,761
  4. Step 4: Simplify right side
    147,793x = 100,972,053,121
  5. Step 5: Solve for x
    x = 100,972,053,121/147,793
  6. Step 6: Final answer
    x = 683,199.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.