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Finding the Third Proportional to 201,765.50 and 282,769.50

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Solution

The third proportional to 201,765.50 and 282,769.50 is: 396,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.50 : 282,769.50 = 282,769.50 : x
  2. Step 2: Convert to fraction form
    201,765.50/282,769.50 = 282,769.50/x
  3. Step 3: Cross multiply
    201,765.50x = 282,769.50 × 282,769.50
  4. Step 4: Simplify right side
    201,765.50x = 79,958,590,130.25
  5. Step 5: Solve for x
    x = 79,958,590,130.25/201,765.50
  6. Step 6: Final answer
    x = 396,294.66

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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.