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Finding the Third Proportional to 160,896 and 346,452

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Solution

The third proportional to 160,896 and 346,452 is: 746,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,896 : 346,452 = 346,452 : x
  2. Step 2: Convert to fraction form
    160,896/346,452 = 346,452/x
  3. Step 3: Cross multiply
    160,896x = 346,452 × 346,452
  4. Step 4: Simplify right side
    160,896x = 120,028,988,304
  5. Step 5: Solve for x
    x = 120,028,988,304/160,896
  6. Step 6: Final answer
    x = 746,003.56

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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.