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Finding the Third Proportional to 201,456 and 296,616

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Solution

The third proportional to 201,456 and 296,616 is: 436,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,456 : 296,616 = 296,616 : x
  2. Step 2: Convert to fraction form
    201,456/296,616 = 296,616/x
  3. Step 3: Cross multiply
    201,456x = 296,616 × 296,616
  4. Step 4: Simplify right side
    201,456x = 87,981,051,456
  5. Step 5: Solve for x
    x = 87,981,051,456/201,456
  6. Step 6: Final answer
    x = 436,725.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.