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Finding the Third Proportional to 173,969 and 266,571

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Solution

The third proportional to 173,969 and 266,571 is: 408,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,969 : 266,571 = 266,571 : x
  2. Step 2: Convert to fraction form
    173,969/266,571 = 266,571/x
  3. Step 3: Cross multiply
    173,969x = 266,571 × 266,571
  4. Step 4: Simplify right side
    173,969x = 71,060,098,041
  5. Step 5: Solve for x
    x = 71,060,098,041/173,969
  6. Step 6: Final answer
    x = 408,464.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.