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Finding the Third Proportional to 201,753 and 282,751.50

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Solution

The third proportional to 201,753 and 282,751.50 is: 396,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753 : 282,751.50 = 282,751.50 : x
  2. Step 2: Convert to fraction form
    201,753/282,751.50 = 282,751.50/x
  3. Step 3: Cross multiply
    201,753x = 282,751.50 × 282,751.50
  4. Step 4: Simplify right side
    201,753x = 79,948,410,752.25
  5. Step 5: Solve for x
    x = 79,948,410,752.25/201,753
  6. Step 6: Final answer
    x = 396,268.76

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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.