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Finding the Third Proportional to 109,444 and 178,692

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Solution

The third proportional to 109,444 and 178,692 is: 291,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,444 : 178,692 = 178,692 : x
  2. Step 2: Convert to fraction form
    109,444/178,692 = 178,692/x
  3. Step 3: Cross multiply
    109,444x = 178,692 × 178,692
  4. Step 4: Simplify right side
    109,444x = 31,930,830,864
  5. Step 5: Solve for x
    x = 31,930,830,864/109,444
  6. Step 6: Final answer
    x = 291,754.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.