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Finding the Third Proportional to 166,376 and 360,780

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Solution

The third proportional to 166,376 and 360,780 is: 782,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,376 : 360,780 = 360,780 : x
  2. Step 2: Convert to fraction form
    166,376/360,780 = 360,780/x
  3. Step 3: Cross multiply
    166,376x = 360,780 × 360,780
  4. Step 4: Simplify right side
    166,376x = 130,162,208,400
  5. Step 5: Solve for x
    x = 130,162,208,400/166,376
  6. Step 6: Final answer
    x = 782,337.65

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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.