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Finding the Third Proportional to 190,082 and 416,760

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Solution

The third proportional to 190,082 and 416,760 is: 913,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,082 : 416,760 = 416,760 : x
  2. Step 2: Convert to fraction form
    190,082/416,760 = 416,760/x
  3. Step 3: Cross multiply
    190,082x = 416,760 × 416,760
  4. Step 4: Simplify right side
    190,082x = 173,688,897,600
  5. Step 5: Solve for x
    x = 173,688,897,600/190,082
  6. Step 6: Final answer
    x = 913,757.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.