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Finding the Third Proportional to 199,374 and 284,373

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Solution

The third proportional to 199,374 and 284,373 is: 405,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,374 : 284,373 = 284,373 : x
  2. Step 2: Convert to fraction form
    199,374/284,373 = 284,373/x
  3. Step 3: Cross multiply
    199,374x = 284,373 × 284,373
  4. Step 4: Simplify right side
    199,374x = 80,868,003,129
  5. Step 5: Solve for x
    x = 80,868,003,129/199,374
  6. Step 6: Final answer
    x = 405,609.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.