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Finding the Third Proportional to 173,171 and 260,261

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Solution

The third proportional to 173,171 and 260,261 is: 391,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,171 : 260,261 = 260,261 : x
  2. Step 2: Convert to fraction form
    173,171/260,261 = 260,261/x
  3. Step 3: Cross multiply
    173,171x = 260,261 × 260,261
  4. Step 4: Simplify right side
    173,171x = 67,735,788,121
  5. Step 5: Solve for x
    x = 67,735,788,121/173,171
  6. Step 6: Final answer
    x = 391,149.72

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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.