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Finding the Third Proportional to 173,163 and 260,253

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Solution

The third proportional to 173,163 and 260,253 is: 391,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,163 : 260,253 = 260,253 : x
  2. Step 2: Convert to fraction form
    173,163/260,253 = 260,253/x
  3. Step 3: Cross multiply
    173,163x = 260,253 × 260,253
  4. Step 4: Simplify right side
    173,163x = 67,731,624,009
  5. Step 5: Solve for x
    x = 67,731,624,009/173,163
  6. Step 6: Final answer
    x = 391,143.74

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