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Finding the Third Proportional to 150,072 and 327,792

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Solution

The third proportional to 150,072 and 327,792 is: 715,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,072 : 327,792 = 327,792 : x
  2. Step 2: Convert to fraction form
    150,072/327,792 = 327,792/x
  3. Step 3: Cross multiply
    150,072x = 327,792 × 327,792
  4. Step 4: Simplify right side
    150,072x = 107,447,595,264
  5. Step 5: Solve for x
    x = 107,447,595,264/150,072
  6. Step 6: Final answer
    x = 715,973.63

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Why These Related Problems?

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