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Finding the Third Proportional to 88,234 and 188,780

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Solution

The third proportional to 88,234 and 188,780 is: 403,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,234 : 188,780 = 188,780 : x
  2. Step 2: Convert to fraction form
    88,234/188,780 = 188,780/x
  3. Step 3: Cross multiply
    88,234x = 188,780 × 188,780
  4. Step 4: Simplify right side
    88,234x = 35,637,888,400
  5. Step 5: Solve for x
    x = 35,637,888,400/88,234
  6. Step 6: Final answer
    x = 403,901.99

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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.