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Finding the Third Proportional to 131,764 and 284,216

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Solution

The third proportional to 131,764 and 284,216 is: 613,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,764 : 284,216 = 284,216 : x
  2. Step 2: Convert to fraction form
    131,764/284,216 = 284,216/x
  3. Step 3: Cross multiply
    131,764x = 284,216 × 284,216
  4. Step 4: Simplify right side
    131,764x = 80,778,734,656
  5. Step 5: Solve for x
    x = 80,778,734,656/131,764
  6. Step 6: Final answer
    x = 613,056.18

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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.