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Finding the Third Proportional to 70,328 and 151,753

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Solution

The third proportional to 70,328 and 151,753 is: 327,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,328 : 151,753 = 151,753 : x
  2. Step 2: Convert to fraction form
    70,328/151,753 = 151,753/x
  3. Step 3: Cross multiply
    70,328x = 151,753 × 151,753
  4. Step 4: Simplify right side
    70,328x = 23,028,973,009
  5. Step 5: Solve for x
    x = 23,028,973,009/70,328
  6. Step 6: Final answer
    x = 327,450.99

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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.