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Finding the Third Proportional to 131,563.50 and 284,173.50

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Solution

The third proportional to 131,563.50 and 284,173.50 is: 613,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,563.50 : 284,173.50 = 284,173.50 : x
  2. Step 2: Convert to fraction form
    131,563.50/284,173.50 = 284,173.50/x
  3. Step 3: Cross multiply
    131,563.50x = 284,173.50 × 284,173.50
  4. Step 4: Simplify right side
    131,563.50x = 80,754,578,102.25
  5. Step 5: Solve for x
    x = 80,754,578,102.25/131,563.50
  6. Step 6: Final answer
    x = 613,806.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.