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Finding the Third Proportional to 201,138.50 and 440,686.25

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Solution

The third proportional to 201,138.50 and 440,686.25 is: 965,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.50 : 440,686.25 = 440,686.25 : x
  2. Step 2: Convert to fraction form
    201,138.50/440,686.25 = 440,686.25/x
  3. Step 3: Cross multiply
    201,138.50x = 440,686.25 × 440,686.25
  4. Step 4: Simplify right side
    201,138.50x = 194,204,370,939.06
  5. Step 5: Solve for x
    x = 194,204,370,939.06/201,138.50
  6. Step 6: Final answer
    x = 965,525.60

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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.