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Finding the Third Proportional to 201,238 and 302,361

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Solution

The third proportional to 201,238 and 302,361 is: 454,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,238 : 302,361 = 302,361 : x
  2. Step 2: Convert to fraction form
    201,238/302,361 = 302,361/x
  3. Step 3: Cross multiply
    201,238x = 302,361 × 302,361
  4. Step 4: Simplify right side
    201,238x = 91,422,174,321
  5. Step 5: Solve for x
    x = 91,422,174,321/201,238
  6. Step 6: Final answer
    x = 454,298.76

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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.