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Finding the Third Proportional to 170,948 and 371,380

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Solution

The third proportional to 170,948 and 371,380 is: 806,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,948 : 371,380 = 371,380 : x
  2. Step 2: Convert to fraction form
    170,948/371,380 = 371,380/x
  3. Step 3: Cross multiply
    170,948x = 371,380 × 371,380
  4. Step 4: Simplify right side
    170,948x = 137,923,104,400
  5. Step 5: Solve for x
    x = 137,923,104,400/170,948
  6. Step 6: Final answer
    x = 806,813.21

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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.