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Finding the Third Proportional to 174,730 and 379,132

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Solution

The third proportional to 174,730 and 379,132 is: 822,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,730 : 379,132 = 379,132 : x
  2. Step 2: Convert to fraction form
    174,730/379,132 = 379,132/x
  3. Step 3: Cross multiply
    174,730x = 379,132 × 379,132
  4. Step 4: Simplify right side
    174,730x = 143,741,073,424
  5. Step 5: Solve for x
    x = 143,741,073,424/174,730
  6. Step 6: Final answer
    x = 822,646.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.