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Finding the Third Proportional to 152,724 and 335,571

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Solution

The third proportional to 152,724 and 335,571 is: 737,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,724 : 335,571 = 335,571 : x
  2. Step 2: Convert to fraction form
    152,724/335,571 = 335,571/x
  3. Step 3: Cross multiply
    152,724x = 335,571 × 335,571
  4. Step 4: Simplify right side
    152,724x = 112,607,896,041
  5. Step 5: Solve for x
    x = 112,607,896,041/152,724
  6. Step 6: Final answer
    x = 737,329.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.