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Finding the Third Proportional to 118,190.32 and 176,867.75

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Solution

The third proportional to 118,190.32 and 176,867.75 is: 264,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,190.32 : 176,867.75 = 176,867.75 : x
  2. Step 2: Convert to fraction form
    118,190.32/176,867.75 = 176,867.75/x
  3. Step 3: Cross multiply
    118,190.32x = 176,867.75 × 176,867.75
  4. Step 4: Simplify right side
    118,190.32x = 31,282,202,371.84
  5. Step 5: Solve for x
    x = 31,282,202,371.84/118,190.32
  6. Step 6: Final answer
    x = 264,676.52

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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.