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Finding the Third Proportional to 160,549 and 352,878

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Solution

The third proportional to 160,549 and 352,878 is: 775,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,549 : 352,878 = 352,878 : x
  2. Step 2: Convert to fraction form
    160,549/352,878 = 352,878/x
  3. Step 3: Cross multiply
    160,549x = 352,878 × 352,878
  4. Step 4: Simplify right side
    160,549x = 124,522,882,884
  5. Step 5: Solve for x
    x = 124,522,882,884/160,549
  6. Step 6: Final answer
    x = 775,606.72

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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.