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Finding the Third Proportional to 155,298 and 332,756

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Solution

The third proportional to 155,298 and 332,756 is: 712,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,298 : 332,756 = 332,756 : x
  2. Step 2: Convert to fraction form
    155,298/332,756 = 332,756/x
  3. Step 3: Cross multiply
    155,298x = 332,756 × 332,756
  4. Step 4: Simplify right side
    155,298x = 110,726,555,536
  5. Step 5: Solve for x
    x = 110,726,555,536/155,298
  6. Step 6: Final answer
    x = 712,994.09

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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.