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Finding the Third Proportional to 176,922 and 260,163

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Solution

The third proportional to 176,922 and 260,163 is: 382,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,922 : 260,163 = 260,163 : x
  2. Step 2: Convert to fraction form
    176,922/260,163 = 260,163/x
  3. Step 3: Cross multiply
    176,922x = 260,163 × 260,163
  4. Step 4: Simplify right side
    176,922x = 67,684,786,569
  5. Step 5: Solve for x
    x = 67,684,786,569/176,922
  6. Step 6: Final answer
    x = 382,568.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.