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Finding the Third Proportional to 201,135.50 and 440,675

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Solution

The third proportional to 201,135.50 and 440,675 is: 965,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,135.50 : 440,675 = 440,675 : x
  2. Step 2: Convert to fraction form
    201,135.50/440,675 = 440,675/x
  3. Step 3: Cross multiply
    201,135.50x = 440,675 × 440,675
  4. Step 4: Simplify right side
    201,135.50x = 194,194,455,625
  5. Step 5: Solve for x
    x = 194,194,455,625/201,135.50
  6. Step 6: Final answer
    x = 965,490.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.