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Finding the Third Proportional to 177,231 and 265,846.50

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Solution

The third proportional to 177,231 and 265,846.50 is: 398,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,231 : 265,846.50 = 265,846.50 : x
  2. Step 2: Convert to fraction form
    177,231/265,846.50 = 265,846.50/x
  3. Step 3: Cross multiply
    177,231x = 265,846.50 × 265,846.50
  4. Step 4: Simplify right side
    177,231x = 70,674,361,562.25
  5. Step 5: Solve for x
    x = 70,674,361,562.25/177,231
  6. Step 6: Final answer
    x = 398,769.75

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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.