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Finding the Third Proportional to 201,448 and 302,172

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Solution

The third proportional to 201,448 and 302,172 is: 453,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,448 : 302,172 = 302,172 : x
  2. Step 2: Convert to fraction form
    201,448/302,172 = 302,172/x
  3. Step 3: Cross multiply
    201,448x = 302,172 × 302,172
  4. Step 4: Simplify right side
    201,448x = 91,307,917,584
  5. Step 5: Solve for x
    x = 91,307,917,584/201,448
  6. Step 6: Final answer
    x = 453,258

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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.