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Finding the Third Proportional to 170,776 and 371,084

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Solution

The third proportional to 170,776 and 371,084 is: 806,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,776 : 371,084 = 371,084 : x
  2. Step 2: Convert to fraction form
    170,776/371,084 = 371,084/x
  3. Step 3: Cross multiply
    170,776x = 371,084 × 371,084
  4. Step 4: Simplify right side
    170,776x = 137,703,335,056
  5. Step 5: Solve for x
    x = 137,703,335,056/170,776
  6. Step 6: Final answer
    x = 806,338.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.