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Finding the Third Proportional to 160,649 and 352,821

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Solution

The third proportional to 160,649 and 352,821 is: 774,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,649 : 352,821 = 352,821 : x
  2. Step 2: Convert to fraction form
    160,649/352,821 = 352,821/x
  3. Step 3: Cross multiply
    160,649x = 352,821 × 352,821
  4. Step 4: Simplify right side
    160,649x = 124,482,658,041
  5. Step 5: Solve for x
    x = 124,482,658,041/160,649
  6. Step 6: Final answer
    x = 774,873.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.