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Finding the Third Proportional to 174,052 and 267,998

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Solution

The third proportional to 174,052 and 267,998 is: 412,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,052 : 267,998 = 267,998 : x
  2. Step 2: Convert to fraction form
    174,052/267,998 = 267,998/x
  3. Step 3: Cross multiply
    174,052x = 267,998 × 267,998
  4. Step 4: Simplify right side
    174,052x = 71,822,928,004
  5. Step 5: Solve for x
    x = 71,822,928,004/174,052
  6. Step 6: Final answer
    x = 412,652.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.