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Finding the Third Proportional to 171,980 and 265,750

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Solution

The third proportional to 171,980 and 265,750 is: 410,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,980 : 265,750 = 265,750 : x
  2. Step 2: Convert to fraction form
    171,980/265,750 = 265,750/x
  3. Step 3: Cross multiply
    171,980x = 265,750 × 265,750
  4. Step 4: Simplify right side
    171,980x = 70,623,062,500
  5. Step 5: Solve for x
    x = 70,623,062,500/171,980
  6. Step 6: Final answer
    x = 410,646.95

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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.