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Finding the Third Proportional to 174,074 and 370,908

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Solution

The third proportional to 174,074 and 370,908 is: 790,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,074 : 370,908 = 370,908 : x
  2. Step 2: Convert to fraction form
    174,074/370,908 = 370,908/x
  3. Step 3: Cross multiply
    174,074x = 370,908 × 370,908
  4. Step 4: Simplify right side
    174,074x = 137,572,744,464
  5. Step 5: Solve for x
    x = 137,572,744,464/174,074
  6. Step 6: Final answer
    x = 790,311.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.