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Finding the Third Proportional to 177,313 and 265,969

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Solution

The third proportional to 177,313 and 265,969 is: 398,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,313 : 265,969 = 265,969 : x
  2. Step 2: Convert to fraction form
    177,313/265,969 = 265,969/x
  3. Step 3: Cross multiply
    177,313x = 265,969 × 265,969
  4. Step 4: Simplify right side
    177,313x = 70,739,508,961
  5. Step 5: Solve for x
    x = 70,739,508,961/177,313
  6. Step 6: Final answer
    x = 398,952.75

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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.