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Finding the Third Proportional to 142,722 and 218,661.75

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Solution

The third proportional to 142,722 and 218,661.75 is: 335,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 218,661.75 = 218,661.75 : x
  2. Step 2: Convert to fraction form
    142,722/218,661.75 = 218,661.75/x
  3. Step 3: Cross multiply
    142,722x = 218,661.75 × 218,661.75
  4. Step 4: Simplify right side
    142,722x = 47,812,960,913.06
  5. Step 5: Solve for x
    x = 47,812,960,913.06/142,722
  6. Step 6: Final answer
    x = 335,007.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.