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Finding the Third Proportional to 201,474 and 296,643

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Solution

The third proportional to 201,474 and 296,643 is: 436,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474 : 296,643 = 296,643 : x
  2. Step 2: Convert to fraction form
    201,474/296,643 = 296,643/x
  3. Step 3: Cross multiply
    201,474x = 296,643 × 296,643
  4. Step 4: Simplify right side
    201,474x = 87,997,069,449
  5. Step 5: Solve for x
    x = 87,997,069,449/201,474
  6. Step 6: Final answer
    x = 436,766.38

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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.