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Finding the Third Proportional to 177,233 and 265,850

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Solution

The third proportional to 177,233 and 265,850 is: 398,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,233 : 265,850 = 265,850 : x
  2. Step 2: Convert to fraction form
    177,233/265,850 = 265,850/x
  3. Step 3: Cross multiply
    177,233x = 265,850 × 265,850
  4. Step 4: Simplify right side
    177,233x = 70,676,222,500
  5. Step 5: Solve for x
    x = 70,676,222,500/177,233
  6. Step 6: Final answer
    x = 398,775.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.