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Finding the Third Proportional to 201,534.75 and 301,249.13

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Solution

The third proportional to 201,534.75 and 301,249.13 is: 450,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,534.75 : 301,249.13 = 301,249.13 : x
  2. Step 2: Convert to fraction form
    201,534.75/301,249.13 = 301,249.13/x
  3. Step 3: Cross multiply
    201,534.75x = 301,249.13 × 301,249.13
  4. Step 4: Simplify right side
    201,534.75x = 90,751,035,313.27
  5. Step 5: Solve for x
    x = 90,751,035,313.27/201,534.75
  6. Step 6: Final answer
    x = 450,299.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.