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Finding the Third Proportional to 190,234 and 284,757

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Solution

The third proportional to 190,234 and 284,757 is: 426,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,234 : 284,757 = 284,757 : x
  2. Step 2: Convert to fraction form
    190,234/284,757 = 284,757/x
  3. Step 3: Cross multiply
    190,234x = 284,757 × 284,757
  4. Step 4: Simplify right side
    190,234x = 81,086,549,049
  5. Step 5: Solve for x
    x = 81,086,549,049/190,234
  6. Step 6: Final answer
    x = 426,246.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.