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Finding the Third Proportional to 199,374 and 296,181

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Solution

The third proportional to 199,374 and 296,181 is: 439,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,374 : 296,181 = 296,181 : x
  2. Step 2: Convert to fraction form
    199,374/296,181 = 296,181/x
  3. Step 3: Cross multiply
    199,374x = 296,181 × 296,181
  4. Step 4: Simplify right side
    199,374x = 87,723,184,761
  5. Step 5: Solve for x
    x = 87,723,184,761/199,374
  6. Step 6: Final answer
    x = 439,993.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.