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Finding the Third Proportional to 201,866 and 437,175

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Solution

The third proportional to 201,866 and 437,175 is: 946,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,866 : 437,175 = 437,175 : x
  2. Step 2: Convert to fraction form
    201,866/437,175 = 437,175/x
  3. Step 3: Cross multiply
    201,866x = 437,175 × 437,175
  4. Step 4: Simplify right side
    201,866x = 191,121,980,625
  5. Step 5: Solve for x
    x = 191,121,980,625/201,866
  6. Step 6: Final answer
    x = 946,776.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.