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Finding the Third Proportional to 176,222.25 and 264,387.75

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Solution

The third proportional to 176,222.25 and 264,387.75 is: 396,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,222.25 : 264,387.75 = 264,387.75 : x
  2. Step 2: Convert to fraction form
    176,222.25/264,387.75 = 264,387.75/x
  3. Step 3: Cross multiply
    176,222.25x = 264,387.75 × 264,387.75
  4. Step 4: Simplify right side
    176,222.25x = 69,900,882,350.06
  5. Step 5: Solve for x
    x = 69,900,882,350.06/176,222.25
  6. Step 6: Final answer
    x = 396,663.20

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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.