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Finding the Third Proportional to 170,126 and 371,381

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Solution

The third proportional to 170,126 and 371,381 is: 810,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,126 : 371,381 = 371,381 : x
  2. Step 2: Convert to fraction form
    170,126/371,381 = 371,381/x
  3. Step 3: Cross multiply
    170,126x = 371,381 × 371,381
  4. Step 4: Simplify right side
    170,126x = 137,923,847,161
  5. Step 5: Solve for x
    x = 137,923,847,161/170,126
  6. Step 6: Final answer
    x = 810,715.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.