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Finding the Third Proportional to 189,418 and 287,583

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Solution

The third proportional to 189,418 and 287,583 is: 436,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418 : 287,583 = 287,583 : x
  2. Step 2: Convert to fraction form
    189,418/287,583 = 287,583/x
  3. Step 3: Cross multiply
    189,418x = 287,583 × 287,583
  4. Step 4: Simplify right side
    189,418x = 82,703,981,889
  5. Step 5: Solve for x
    x = 82,703,981,889/189,418
  6. Step 6: Final answer
    x = 436,621.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.