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Finding the Third Proportional to 207,632 and 446,166

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Solution

The third proportional to 207,632 and 446,166 is: 958,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,632 : 446,166 = 446,166 : x
  2. Step 2: Convert to fraction form
    207,632/446,166 = 446,166/x
  3. Step 3: Cross multiply
    207,632x = 446,166 × 446,166
  4. Step 4: Simplify right side
    207,632x = 199,064,099,556
  5. Step 5: Solve for x
    x = 199,064,099,556/207,632
  6. Step 6: Final answer
    x = 958,735.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.