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Finding the Third Proportional to 190,552.50 and 284,892.75

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Solution

The third proportional to 190,552.50 and 284,892.75 is: 425,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,552.50 : 284,892.75 = 284,892.75 : x
  2. Step 2: Convert to fraction form
    190,552.50/284,892.75 = 284,892.75/x
  3. Step 3: Cross multiply
    190,552.50x = 284,892.75 × 284,892.75
  4. Step 4: Simplify right side
    190,552.50x = 81,163,879,002.56
  5. Step 5: Solve for x
    x = 81,163,879,002.56/190,552.50
  6. Step 6: Final answer
    x = 425,939.72

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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.