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Finding the Third Proportional to 118,195 and 177,415

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Solution

The third proportional to 118,195 and 177,415 is: 266,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,195 : 177,415 = 177,415 : x
  2. Step 2: Convert to fraction form
    118,195/177,415 = 177,415/x
  3. Step 3: Cross multiply
    118,195x = 177,415 × 177,415
  4. Step 4: Simplify right side
    118,195x = 31,476,082,225
  5. Step 5: Solve for x
    x = 31,476,082,225/118,195
  6. Step 6: Final answer
    x = 266,306.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.