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Finding the Third Proportional to 70,828 and 154,535

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Solution

The third proportional to 70,828 and 154,535 is: 337,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,828 : 154,535 = 154,535 : x
  2. Step 2: Convert to fraction form
    70,828/154,535 = 154,535/x
  3. Step 3: Cross multiply
    70,828x = 154,535 × 154,535
  4. Step 4: Simplify right side
    70,828x = 23,881,066,225
  5. Step 5: Solve for x
    x = 23,881,066,225/70,828
  6. Step 6: Final answer
    x = 337,169.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.