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Finding the Third Proportional to 190,231.50 and 284,827.50

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Solution

The third proportional to 190,231.50 and 284,827.50 is: 426,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,231.50 : 284,827.50 = 284,827.50 : x
  2. Step 2: Convert to fraction form
    190,231.50/284,827.50 = 284,827.50/x
  3. Step 3: Cross multiply
    190,231.50x = 284,827.50 × 284,827.50
  4. Step 4: Simplify right side
    190,231.50x = 81,126,704,756.25
  5. Step 5: Solve for x
    x = 81,126,704,756.25/190,231.50
  6. Step 6: Final answer
    x = 426,463.05

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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.