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Finding the Third Proportional to 176,338.13 and 264,503.25

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Solution

The third proportional to 176,338.13 and 264,503.25 is: 396,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,338.13 : 264,503.25 = 264,503.25 : x
  2. Step 2: Convert to fraction form
    176,338.13/264,503.25 = 264,503.25/x
  3. Step 3: Cross multiply
    176,338.13x = 264,503.25 × 264,503.25
  4. Step 4: Simplify right side
    176,338.13x = 69,961,969,260.56
  5. Step 5: Solve for x
    x = 69,961,969,260.56/176,338.13
  6. Step 6: Final answer
    x = 396,748.97

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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.