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Finding the Third Proportional to 168,543 and 361,074

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Solution

The third proportional to 168,543 and 361,074 is: 773,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,543 : 361,074 = 361,074 : x
  2. Step 2: Convert to fraction form
    168,543/361,074 = 361,074/x
  3. Step 3: Cross multiply
    168,543x = 361,074 × 361,074
  4. Step 4: Simplify right side
    168,543x = 130,374,433,476
  5. Step 5: Solve for x
    x = 130,374,433,476/168,543
  6. Step 6: Final answer
    x = 773,538.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.