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Finding the Third Proportional to 168,348.56 and 363,402.31

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Solution

The third proportional to 168,348.56 and 363,402.31 is: 784,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348.56 : 363,402.31 = 363,402.31 : x
  2. Step 2: Convert to fraction form
    168,348.56/363,402.31 = 363,402.31/x
  3. Step 3: Cross multiply
    168,348.56x = 363,402.31 × 363,402.31
  4. Step 4: Simplify right side
    168,348.56x = 132,061,240,730.35
  5. Step 5: Solve for x
    x = 132,061,240,730.35/168,348.56
  6. Step 6: Final answer
    x = 784,451.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.