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Finding the Third Proportional to 70,298 and 151,837

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Solution

The third proportional to 70,298 and 151,837 is: 327,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298 : 151,837 = 151,837 : x
  2. Step 2: Convert to fraction form
    70,298/151,837 = 151,837/x
  3. Step 3: Cross multiply
    70,298x = 151,837 × 151,837
  4. Step 4: Simplify right side
    70,298x = 23,054,474,569
  5. Step 5: Solve for x
    x = 23,054,474,569/70,298
  6. Step 6: Final answer
    x = 327,953.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.