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Finding the Third Proportional to 171,792 and 259,569.75

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Solution

The third proportional to 171,792 and 259,569.75 is: 392,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,792 : 259,569.75 = 259,569.75 : x
  2. Step 2: Convert to fraction form
    171,792/259,569.75 = 259,569.75/x
  3. Step 3: Cross multiply
    171,792x = 259,569.75 × 259,569.75
  4. Step 4: Simplify right side
    171,792x = 67,376,455,115.06
  5. Step 5: Solve for x
    x = 67,376,455,115.06/171,792
  6. Step 6: Final answer
    x = 392,197.86

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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.