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Finding the Third Proportional to 201,919.50 and 282,926.25

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Solution

The third proportional to 201,919.50 and 282,926.25 is: 396,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.50 : 282,926.25 = 282,926.25 : x
  2. Step 2: Convert to fraction form
    201,919.50/282,926.25 = 282,926.25/x
  3. Step 3: Cross multiply
    201,919.50x = 282,926.25 × 282,926.25
  4. Step 4: Simplify right side
    201,919.50x = 80,047,262,939.06
  5. Step 5: Solve for x
    x = 80,047,262,939.06/201,919.50
  6. Step 6: Final answer
    x = 396,431.56

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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.