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Finding the Third Proportional to 169,622 and 356,680

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Solution

The third proportional to 169,622 and 356,680 is: 750,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,622 : 356,680 = 356,680 : x
  2. Step 2: Convert to fraction form
    169,622/356,680 = 356,680/x
  3. Step 3: Cross multiply
    169,622x = 356,680 × 356,680
  4. Step 4: Simplify right side
    169,622x = 127,220,622,400
  5. Step 5: Solve for x
    x = 127,220,622,400/169,622
  6. Step 6: Final answer
    x = 750,024.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.