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Finding the Third Proportional to 177,626 and 265,899

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Solution

The third proportional to 177,626 and 265,899 is: 398,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,626 : 265,899 = 265,899 : x
  2. Step 2: Convert to fraction form
    177,626/265,899 = 265,899/x
  3. Step 3: Cross multiply
    177,626x = 265,899 × 265,899
  4. Step 4: Simplify right side
    177,626x = 70,702,278,201
  5. Step 5: Solve for x
    x = 70,702,278,201/177,626
  6. Step 6: Final answer
    x = 398,040.14

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Why These Related Problems?

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