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Finding the Third Proportional to 109,198.50 and 169,629

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Solution

The third proportional to 109,198.50 and 169,629 is: 263,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,198.50 : 169,629 = 169,629 : x
  2. Step 2: Convert to fraction form
    109,198.50/169,629 = 169,629/x
  3. Step 3: Cross multiply
    109,198.50x = 169,629 × 169,629
  4. Step 4: Simplify right side
    109,198.50x = 28,773,997,641
  5. Step 5: Solve for x
    x = 28,773,997,641/109,198.50
  6. Step 6: Final answer
    x = 263,501.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.