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Finding the Third Proportional to 201,730.50 and 282,720.38

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Solution

The third proportional to 201,730.50 and 282,720.38 is: 396,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,730.50 : 282,720.38 = 282,720.38 : x
  2. Step 2: Convert to fraction form
    201,730.50/282,720.38 = 282,720.38/x
  3. Step 3: Cross multiply
    201,730.50x = 282,720.38 × 282,720.38
  4. Step 4: Simplify right side
    201,730.50x = 79,930,810,440.14
  5. Step 5: Solve for x
    x = 79,930,810,440.14/201,730.50
  6. Step 6: Final answer
    x = 396,225.71

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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.