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Finding the Third Proportional to 131,640 and 284,255.25

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Solution

The third proportional to 131,640 and 284,255.25 is: 613,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640 : 284,255.25 = 284,255.25 : x
  2. Step 2: Convert to fraction form
    131,640/284,255.25 = 284,255.25/x
  3. Step 3: Cross multiply
    131,640x = 284,255.25 × 284,255.25
  4. Step 4: Simplify right side
    131,640x = 80,801,047,152.56
  5. Step 5: Solve for x
    x = 80,801,047,152.56/131,640
  6. Step 6: Final answer
    x = 613,803.15

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