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Finding the Third Proportional to 152,301 and 227,571

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Solution

The third proportional to 152,301 and 227,571 is: 340,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,301 : 227,571 = 227,571 : x
  2. Step 2: Convert to fraction form
    152,301/227,571 = 227,571/x
  3. Step 3: Cross multiply
    152,301x = 227,571 × 227,571
  4. Step 4: Simplify right side
    152,301x = 51,788,560,041
  5. Step 5: Solve for x
    x = 51,788,560,041/152,301
  6. Step 6: Final answer
    x = 340,040.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.