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Finding the Third Proportional to 152,019 and 200,093

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Solution

The third proportional to 152,019 and 200,093 is: 263,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,019 : 200,093 = 200,093 : x
  2. Step 2: Convert to fraction form
    152,019/200,093 = 200,093/x
  3. Step 3: Cross multiply
    152,019x = 200,093 × 200,093
  4. Step 4: Simplify right side
    152,019x = 40,037,208,649
  5. Step 5: Solve for x
    x = 40,037,208,649/152,019
  6. Step 6: Final answer
    x = 263,369.77

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.