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Finding the Third Proportional to 201,771 and 282,776.50

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Solution

The third proportional to 201,771 and 282,776.50 is: 396,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771 : 282,776.50 = 282,776.50 : x
  2. Step 2: Convert to fraction form
    201,771/282,776.50 = 282,776.50/x
  3. Step 3: Cross multiply
    201,771x = 282,776.50 × 282,776.50
  4. Step 4: Simplify right side
    201,771x = 79,962,548,952.25
  5. Step 5: Solve for x
    x = 79,962,548,952.25/201,771
  6. Step 6: Final answer
    x = 396,303.48

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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.