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Finding the Third Proportional to 190,228.50 and 284,823

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Solution

The third proportional to 190,228.50 and 284,823 is: 426,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,228.50 : 284,823 = 284,823 : x
  2. Step 2: Convert to fraction form
    190,228.50/284,823 = 284,823/x
  3. Step 3: Cross multiply
    190,228.50x = 284,823 × 284,823
  4. Step 4: Simplify right side
    190,228.50x = 81,124,141,329
  5. Step 5: Solve for x
    x = 81,124,141,329/190,228.50
  6. Step 6: Final answer
    x = 426,456.30

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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.