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Finding the Third Proportional to 174,164 and 260,571

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Solution

The third proportional to 174,164 and 260,571 is: 389,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,164 : 260,571 = 260,571 : x
  2. Step 2: Convert to fraction form
    174,164/260,571 = 260,571/x
  3. Step 3: Cross multiply
    174,164x = 260,571 × 260,571
  4. Step 4: Simplify right side
    174,164x = 67,897,246,041
  5. Step 5: Solve for x
    x = 67,897,246,041/174,164
  6. Step 6: Final answer
    x = 389,846.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.