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Finding the Third Proportional to 201,759.75 and 442,703.25

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Solution

The third proportional to 201,759.75 and 442,703.25 is: 971,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,759.75 : 442,703.25 = 442,703.25 : x
  2. Step 2: Convert to fraction form
    201,759.75/442,703.25 = 442,703.25/x
  3. Step 3: Cross multiply
    201,759.75x = 442,703.25 × 442,703.25
  4. Step 4: Simplify right side
    201,759.75x = 195,986,167,560.56
  5. Step 5: Solve for x
    x = 195,986,167,560.56/201,759.75
  6. Step 6: Final answer
    x = 971,383.87

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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.