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Finding the Third Proportional to 190,494 and 284,805

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Solution

The third proportional to 190,494 and 284,805 is: 425,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,494 : 284,805 = 284,805 : x
  2. Step 2: Convert to fraction form
    190,494/284,805 = 284,805/x
  3. Step 3: Cross multiply
    190,494x = 284,805 × 284,805
  4. Step 4: Simplify right side
    190,494x = 81,113,888,025
  5. Step 5: Solve for x
    x = 81,113,888,025/190,494
  6. Step 6: Final answer
    x = 425,808.10

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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.