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Finding the Third Proportional to 174,630 and 377,079

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Solution

The third proportional to 174,630 and 377,079 is: 814,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,630 : 377,079 = 377,079 : x
  2. Step 2: Convert to fraction form
    174,630/377,079 = 377,079/x
  3. Step 3: Cross multiply
    174,630x = 377,079 × 377,079
  4. Step 4: Simplify right side
    174,630x = 142,188,572,241
  5. Step 5: Solve for x
    x = 142,188,572,241/174,630
  6. Step 6: Final answer
    x = 814,227.64

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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.