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Finding the Third Proportional to 168,442 and 368,534

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Solution

The third proportional to 168,442 and 368,534 is: 806,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,442 : 368,534 = 368,534 : x
  2. Step 2: Convert to fraction form
    168,442/368,534 = 368,534/x
  3. Step 3: Cross multiply
    168,442x = 368,534 × 368,534
  4. Step 4: Simplify right side
    168,442x = 135,817,309,156
  5. Step 5: Solve for x
    x = 135,817,309,156/168,442
  6. Step 6: Final answer
    x = 806,314.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.