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Finding the Third Proportional to 170,774 and 371,080

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Solution

The third proportional to 170,774 and 371,080 is: 806,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,774 : 371,080 = 371,080 : x
  2. Step 2: Convert to fraction form
    170,774/371,080 = 371,080/x
  3. Step 3: Cross multiply
    170,774x = 371,080 × 371,080
  4. Step 4: Simplify right side
    170,774x = 137,700,366,400
  5. Step 5: Solve for x
    x = 137,700,366,400/170,774
  6. Step 6: Final answer
    x = 806,330.98

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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.