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Finding the Third Proportional to 131,516 and 284,054

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Solution

The third proportional to 131,516 and 284,054 is: 613,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,516 : 284,054 = 284,054 : x
  2. Step 2: Convert to fraction form
    131,516/284,054 = 284,054/x
  3. Step 3: Cross multiply
    131,516x = 284,054 × 284,054
  4. Step 4: Simplify right side
    131,516x = 80,686,674,916
  5. Step 5: Solve for x
    x = 80,686,674,916/131,516
  6. Step 6: Final answer
    x = 613,512.23

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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.