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Finding the Third Proportional to 177,624 and 265,896

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Solution

The third proportional to 177,624 and 265,896 is: 398,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624 : 265,896 = 265,896 : x
  2. Step 2: Convert to fraction form
    177,624/265,896 = 265,896/x
  3. Step 3: Cross multiply
    177,624x = 265,896 × 265,896
  4. Step 4: Simplify right side
    177,624x = 70,700,682,816
  5. Step 5: Solve for x
    x = 70,700,682,816/177,624
  6. Step 6: Final answer
    x = 398,035.64

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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.