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Finding the Third Proportional to 172,251 and 369,414

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Solution

The third proportional to 172,251 and 369,414 is: 792,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,251 : 369,414 = 369,414 : x
  2. Step 2: Convert to fraction form
    172,251/369,414 = 369,414/x
  3. Step 3: Cross multiply
    172,251x = 369,414 × 369,414
  4. Step 4: Simplify right side
    172,251x = 136,466,703,396
  5. Step 5: Solve for x
    x = 136,466,703,396/172,251
  6. Step 6: Final answer
    x = 792,254.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.