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Finding the Third Proportional to 88,894 and 187,780

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Solution

The third proportional to 88,894 and 187,780 is: 396,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894 : 187,780 = 187,780 : x
  2. Step 2: Convert to fraction form
    88,894/187,780 = 187,780/x
  3. Step 3: Cross multiply
    88,894x = 187,780 × 187,780
  4. Step 4: Simplify right side
    88,894x = 35,261,328,400
  5. Step 5: Solve for x
    x = 35,261,328,400/88,894
  6. Step 6: Final answer
    x = 396,667.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.