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Finding the Third Proportional to 109,288 and 173,778

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Solution

The third proportional to 109,288 and 173,778 is: 276,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,288 : 173,778 = 173,778 : x
  2. Step 2: Convert to fraction form
    109,288/173,778 = 173,778/x
  3. Step 3: Cross multiply
    109,288x = 173,778 × 173,778
  4. Step 4: Simplify right side
    109,288x = 30,198,793,284
  5. Step 5: Solve for x
    x = 30,198,793,284/109,288
  6. Step 6: Final answer
    x = 276,323.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.