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Finding the Third Proportional to 168,710.34 and 398,265.61

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Solution

The third proportional to 168,710.34 and 398,265.61 is: 940,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,710.34 : 398,265.61 = 398,265.61 : x
  2. Step 2: Convert to fraction form
    168,710.34/398,265.61 = 398,265.61/x
  3. Step 3: Cross multiply
    168,710.34x = 398,265.61 × 398,265.61
  4. Step 4: Simplify right side
    168,710.34x = 158,615,495,610.84
  5. Step 5: Solve for x
    x = 158,615,495,610.84/168,710.34
  6. Step 6: Final answer
    x = 940,164.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.