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Finding the Third Proportional to 159,304 and 230,280

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Solution

The third proportional to 159,304 and 230,280 is: 332,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,304 : 230,280 = 230,280 : x
  2. Step 2: Convert to fraction form
    159,304/230,280 = 230,280/x
  3. Step 3: Cross multiply
    159,304x = 230,280 × 230,280
  4. Step 4: Simplify right side
    159,304x = 53,028,878,400
  5. Step 5: Solve for x
    x = 53,028,878,400/159,304
  6. Step 6: Final answer
    x = 332,878.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.