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Finding the Third Proportional to 189,132 and 287,628

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Solution

The third proportional to 189,132 and 287,628 is: 437,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,132 : 287,628 = 287,628 : x
  2. Step 2: Convert to fraction form
    189,132/287,628 = 287,628/x
  3. Step 3: Cross multiply
    189,132x = 287,628 × 287,628
  4. Step 4: Simplify right side
    189,132x = 82,729,866,384
  5. Step 5: Solve for x
    x = 82,729,866,384/189,132
  6. Step 6: Final answer
    x = 437,418.66

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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.