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Finding the Third Proportional to 201,744 and 303,486

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Solution

The third proportional to 201,744 and 303,486 is: 456,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744 : 303,486 = 303,486 : x
  2. Step 2: Convert to fraction form
    201,744/303,486 = 303,486/x
  3. Step 3: Cross multiply
    201,744x = 303,486 × 303,486
  4. Step 4: Simplify right side
    201,744x = 92,103,752,196
  5. Step 5: Solve for x
    x = 92,103,752,196/201,744
  6. Step 6: Final answer
    x = 456,537.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.