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Finding the Third Proportional to 201,768 and 282,771.50

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Solution

The third proportional to 201,768 and 282,771.50 is: 396,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,768 : 282,771.50 = 282,771.50 : x
  2. Step 2: Convert to fraction form
    201,768/282,771.50 = 282,771.50/x
  3. Step 3: Cross multiply
    201,768x = 282,771.50 × 282,771.50
  4. Step 4: Simplify right side
    201,768x = 79,959,721,212.25
  5. Step 5: Solve for x
    x = 79,959,721,212.25/201,768
  6. Step 6: Final answer
    x = 396,295.36

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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.