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Finding the Third Proportional to 170,466 and 370,676

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Solution

The third proportional to 170,466 and 370,676 is: 806,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,466 : 370,676 = 370,676 : x
  2. Step 2: Convert to fraction form
    170,466/370,676 = 370,676/x
  3. Step 3: Cross multiply
    170,466x = 370,676 × 370,676
  4. Step 4: Simplify right side
    170,466x = 137,400,696,976
  5. Step 5: Solve for x
    x = 137,400,696,976/170,466
  6. Step 6: Final answer
    x = 806,029.92

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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.