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Finding the Third Proportional to 169,774 and 370,650

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Solution

The third proportional to 169,774 and 370,650 is: 809,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,774 : 370,650 = 370,650 : x
  2. Step 2: Convert to fraction form
    169,774/370,650 = 370,650/x
  3. Step 3: Cross multiply
    169,774x = 370,650 × 370,650
  4. Step 4: Simplify right side
    169,774x = 137,381,422,500
  5. Step 5: Solve for x
    x = 137,381,422,500/169,774
  6. Step 6: Final answer
    x = 809,201.78

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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.