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Finding the Third Proportional to 170,874 and 395,587

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Solution

The third proportional to 170,874 and 395,587 is: 915,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,874 : 395,587 = 395,587 : x
  2. Step 2: Convert to fraction form
    170,874/395,587 = 395,587/x
  3. Step 3: Cross multiply
    170,874x = 395,587 × 395,587
  4. Step 4: Simplify right side
    170,874x = 156,489,074,569
  5. Step 5: Solve for x
    x = 156,489,074,569/170,874
  6. Step 6: Final answer
    x = 915,815.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.