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Finding the Third Proportional to 247,141.31 and 395,587.03

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Solution

The third proportional to 247,141.31 and 395,587.03 is: 633,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,141.31 : 395,587.03 = 395,587.03 : x
  2. Step 2: Convert to fraction form
    247,141.31/395,587.03 = 395,587.03/x
  3. Step 3: Cross multiply
    247,141.31x = 395,587.03 × 395,587.03
  4. Step 4: Simplify right side
    247,141.31x = 156,489,099,293.19
  5. Step 5: Solve for x
    x = 156,489,099,293.19/247,141.31
  6. Step 6: Final answer
    x = 633,196.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.