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Finding the Third Proportional to 171,616.50 and 265,729.50

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Solution

The third proportional to 171,616.50 and 265,729.50 is: 411,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,616.50 : 265,729.50 = 265,729.50 : x
  2. Step 2: Convert to fraction form
    171,616.50/265,729.50 = 265,729.50/x
  3. Step 3: Cross multiply
    171,616.50x = 265,729.50 × 265,729.50
  4. Step 4: Simplify right side
    171,616.50x = 70,612,167,170.25
  5. Step 5: Solve for x
    x = 70,612,167,170.25/171,616.50
  6. Step 6: Final answer
    x = 411,453.25

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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.