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Finding the Third Proportional to 131,533.50 and 284,085

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Solution

The third proportional to 131,533.50 and 284,085 is: 613,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,533.50 : 284,085 = 284,085 : x
  2. Step 2: Convert to fraction form
    131,533.50/284,085 = 284,085/x
  3. Step 3: Cross multiply
    131,533.50x = 284,085 × 284,085
  4. Step 4: Simplify right side
    131,533.50x = 80,704,287,225
  5. Step 5: Solve for x
    x = 80,704,287,225/131,533.50
  6. Step 6: Final answer
    x = 613,564.51

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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.