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Finding the Third Proportional to 109,284 and 168,777

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Solution

The third proportional to 109,284 and 168,777 is: 260,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,284 : 168,777 = 168,777 : x
  2. Step 2: Convert to fraction form
    109,284/168,777 = 168,777/x
  3. Step 3: Cross multiply
    109,284x = 168,777 × 168,777
  4. Step 4: Simplify right side
    109,284x = 28,485,675,729
  5. Step 5: Solve for x
    x = 28,485,675,729/109,284
  6. Step 6: Final answer
    x = 260,657.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.