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Finding the Third Proportional to 152,822 and 199,695

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Solution

The third proportional to 152,822 and 199,695 is: 260,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,822 : 199,695 = 199,695 : x
  2. Step 2: Convert to fraction form
    152,822/199,695 = 199,695/x
  3. Step 3: Cross multiply
    152,822x = 199,695 × 199,695
  4. Step 4: Simplify right side
    152,822x = 39,878,093,025
  5. Step 5: Solve for x
    x = 39,878,093,025/152,822
  6. Step 6: Final answer
    x = 260,944.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.