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Finding the Third Proportional to 155,274 and 332,682

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Solution

The third proportional to 155,274 and 332,682 is: 712,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,274 : 332,682 = 332,682 : x
  2. Step 2: Convert to fraction form
    155,274/332,682 = 332,682/x
  3. Step 3: Cross multiply
    155,274x = 332,682 × 332,682
  4. Step 4: Simplify right side
    155,274x = 110,677,313,124
  5. Step 5: Solve for x
    x = 110,677,313,124/155,274
  6. Step 6: Final answer
    x = 712,787.16

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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.