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Finding the Third Proportional to 131,762 and 284,212

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Solution

The third proportional to 131,762 and 284,212 is: 613,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,762 : 284,212 = 284,212 : x
  2. Step 2: Convert to fraction form
    131,762/284,212 = 284,212/x
  3. Step 3: Cross multiply
    131,762x = 284,212 × 284,212
  4. Step 4: Simplify right side
    131,762x = 80,776,460,944
  5. Step 5: Solve for x
    x = 80,776,460,944/131,762
  6. Step 6: Final answer
    x = 613,048.23

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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.