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Finding the Third Proportional to 160,878 and 346,422

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Solution

The third proportional to 160,878 and 346,422 is: 745,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,878 : 346,422 = 346,422 : x
  2. Step 2: Convert to fraction form
    160,878/346,422 = 346,422/x
  3. Step 3: Cross multiply
    160,878x = 346,422 × 346,422
  4. Step 4: Simplify right side
    160,878x = 120,008,202,084
  5. Step 5: Solve for x
    x = 120,008,202,084/160,878
  6. Step 6: Final answer
    x = 745,957.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.