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Finding the Third Proportional to 174,758 and 374,416

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Solution

The third proportional to 174,758 and 374,416 is: 802,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,758 : 374,416 = 374,416 : x
  2. Step 2: Convert to fraction form
    174,758/374,416 = 374,416/x
  3. Step 3: Cross multiply
    174,758x = 374,416 × 374,416
  4. Step 4: Simplify right side
    174,758x = 140,187,341,056
  5. Step 5: Solve for x
    x = 140,187,341,056/174,758
  6. Step 6: Final answer
    x = 802,179.82

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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.