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Finding the Third Proportional to 147,878 and 317,872

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Solution

The third proportional to 147,878 and 317,872 is: 683,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,878 : 317,872 = 317,872 : x
  2. Step 2: Convert to fraction form
    147,878/317,872 = 317,872/x
  3. Step 3: Cross multiply
    147,878x = 317,872 × 317,872
  4. Step 4: Simplify right side
    147,878x = 101,042,608,384
  5. Step 5: Solve for x
    x = 101,042,608,384/147,878
  6. Step 6: Final answer
    x = 683,283.57

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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.