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Finding the Third Proportional to 173,123 and 260,823

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Solution

The third proportional to 173,123 and 260,823 is: 392,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,123 : 260,823 = 260,823 : x
  2. Step 2: Convert to fraction form
    173,123/260,823 = 260,823/x
  3. Step 3: Cross multiply
    173,123x = 260,823 × 260,823
  4. Step 4: Simplify right side
    173,123x = 68,028,637,329
  5. Step 5: Solve for x
    x = 68,028,637,329/173,123
  6. Step 6: Final answer
    x = 392,949.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.