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Finding the Third Proportional to 201,742.50 and 282,739.50

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Solution

The third proportional to 201,742.50 and 282,739.50 is: 396,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.50 : 282,739.50 = 282,739.50 : x
  2. Step 2: Convert to fraction form
    201,742.50/282,739.50 = 282,739.50/x
  3. Step 3: Cross multiply
    201,742.50x = 282,739.50 × 282,739.50
  4. Step 4: Simplify right side
    201,742.50x = 79,941,624,860.25
  5. Step 5: Solve for x
    x = 79,941,624,860.25/201,742.50
  6. Step 6: Final answer
    x = 396,255.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.