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Finding the Third Proportional to 187,960 and 287,894

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Solution

The third proportional to 187,960 and 287,894 is: 440,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,960 : 287,894 = 287,894 : x
  2. Step 2: Convert to fraction form
    187,960/287,894 = 287,894/x
  3. Step 3: Cross multiply
    187,960x = 287,894 × 287,894
  4. Step 4: Simplify right side
    187,960x = 82,882,955,236
  5. Step 5: Solve for x
    x = 82,882,955,236/187,960
  6. Step 6: Final answer
    x = 440,960.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.