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Finding the Third Proportional to 190,024 and 403,367

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Solution

The third proportional to 190,024 and 403,367 is: 856,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,024 : 403,367 = 403,367 : x
  2. Step 2: Convert to fraction form
    190,024/403,367 = 403,367/x
  3. Step 3: Cross multiply
    190,024x = 403,367 × 403,367
  4. Step 4: Simplify right side
    190,024x = 162,704,936,689
  5. Step 5: Solve for x
    x = 162,704,936,689/190,024
  6. Step 6: Final answer
    x = 856,233.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.