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Finding the Third Proportional to 177,003.56 and 265,443.75

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Solution

The third proportional to 177,003.56 and 265,443.75 is: 398,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,003.56 : 265,443.75 = 265,443.75 : x
  2. Step 2: Convert to fraction form
    177,003.56/265,443.75 = 265,443.75/x
  3. Step 3: Cross multiply
    177,003.56x = 265,443.75 × 265,443.75
  4. Step 4: Simplify right side
    177,003.56x = 70,460,384,414.06
  5. Step 5: Solve for x
    x = 70,460,384,414.06/177,003.56
  6. Step 6: Final answer
    x = 398,073.26

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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.