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Finding the Third Proportional to 169,246 and 395,539

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Solution

The third proportional to 169,246 and 395,539 is: 924,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,246 : 395,539 = 395,539 : x
  2. Step 2: Convert to fraction form
    169,246/395,539 = 395,539/x
  3. Step 3: Cross multiply
    169,246x = 395,539 × 395,539
  4. Step 4: Simplify right side
    169,246x = 156,451,100,521
  5. Step 5: Solve for x
    x = 156,451,100,521/169,246
  6. Step 6: Final answer
    x = 924,400.58

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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.