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Finding the Third Proportional to 134,182 and 287,156

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Solution

The third proportional to 134,182 and 287,156 is: 614,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,182 : 287,156 = 287,156 : x
  2. Step 2: Convert to fraction form
    134,182/287,156 = 287,156/x
  3. Step 3: Cross multiply
    134,182x = 287,156 × 287,156
  4. Step 4: Simplify right side
    134,182x = 82,458,568,336
  5. Step 5: Solve for x
    x = 82,458,568,336/134,182
  6. Step 6: Final answer
    x = 614,527.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.