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Finding the Third Proportional to 201,932 and 316,790

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Solution

The third proportional to 201,932 and 316,790 is: 496,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,932 : 316,790 = 316,790 : x
  2. Step 2: Convert to fraction form
    201,932/316,790 = 316,790/x
  3. Step 3: Cross multiply
    201,932x = 316,790 × 316,790
  4. Step 4: Simplify right side
    201,932x = 100,355,904,100
  5. Step 5: Solve for x
    x = 100,355,904,100/201,932
  6. Step 6: Final answer
    x = 496,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.