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Finding the Third Proportional to 173,969 and 260,542

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Solution

The third proportional to 173,969 and 260,542 is: 390,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,969 : 260,542 = 260,542 : x
  2. Step 2: Convert to fraction form
    173,969/260,542 = 260,542/x
  3. Step 3: Cross multiply
    173,969x = 260,542 × 260,542
  4. Step 4: Simplify right side
    173,969x = 67,882,133,764
  5. Step 5: Solve for x
    x = 67,882,133,764/173,969
  6. Step 6: Final answer
    x = 390,196.72

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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.