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Finding the Third Proportional to 170,959.31 and 395,740.31

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Solution

The third proportional to 170,959.31 and 395,740.31 is: 916,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,959.31 : 395,740.31 = 395,740.31 : x
  2. Step 2: Convert to fraction form
    170,959.31/395,740.31 = 395,740.31/x
  3. Step 3: Cross multiply
    170,959.31x = 395,740.31 × 395,740.31
  4. Step 4: Simplify right side
    170,959.31x = 156,610,394,937.60
  5. Step 5: Solve for x
    x = 156,610,394,937.60/170,959.31
  6. Step 6: Final answer
    x = 916,068.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.