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Finding the Third Proportional to 201,372 and 282,220.50

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Solution

The third proportional to 201,372 and 282,220.50 is: 395,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,372 : 282,220.50 = 282,220.50 : x
  2. Step 2: Convert to fraction form
    201,372/282,220.50 = 282,220.50/x
  3. Step 3: Cross multiply
    201,372x = 282,220.50 × 282,220.50
  4. Step 4: Simplify right side
    201,372x = 79,648,410,620.25
  5. Step 5: Solve for x
    x = 79,648,410,620.25/201,372
  6. Step 6: Final answer
    x = 395,528.73

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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.