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Finding the Third Proportional to 201,468 and 296,634

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Solution

The third proportional to 201,468 and 296,634 is: 436,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,468 : 296,634 = 296,634 : x
  2. Step 2: Convert to fraction form
    201,468/296,634 = 296,634/x
  3. Step 3: Cross multiply
    201,468x = 296,634 × 296,634
  4. Step 4: Simplify right side
    201,468x = 87,991,729,956
  5. Step 5: Solve for x
    x = 87,991,729,956/201,468
  6. Step 6: Final answer
    x = 436,752.88

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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.