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Finding the Third Proportional to 170,127 and 371,382

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Solution

The third proportional to 170,127 and 371,382 is: 810,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,127 : 371,382 = 371,382 : x
  2. Step 2: Convert to fraction form
    170,127/371,382 = 371,382/x
  3. Step 3: Cross multiply
    170,127x = 371,382 × 371,382
  4. Step 4: Simplify right side
    170,127x = 137,924,589,924
  5. Step 5: Solve for x
    x = 137,924,589,924/170,127
  6. Step 6: Final answer
    x = 810,715.47

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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.