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Finding the Third Proportional to 166,315.78 and 260,600.41

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Solution

The third proportional to 166,315.78 and 260,600.41 is: 408,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,315.78 : 260,600.41 = 260,600.41 : x
  2. Step 2: Convert to fraction form
    166,315.78/260,600.41 = 260,600.41/x
  3. Step 3: Cross multiply
    166,315.78x = 260,600.41 × 260,600.41
  4. Step 4: Simplify right side
    166,315.78x = 67,912,575,809.55
  5. Step 5: Solve for x
    x = 67,912,575,809.55/166,315.78
  6. Step 6: Final answer
    x = 408,335.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.