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Finding the Third Proportional to 201,936 and 316,796

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Solution

The third proportional to 201,936 and 316,796 is: 496,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,936 : 316,796 = 316,796 : x
  2. Step 2: Convert to fraction form
    201,936/316,796 = 316,796/x
  3. Step 3: Cross multiply
    201,936x = 316,796 × 316,796
  4. Step 4: Simplify right side
    201,936x = 100,359,705,616
  5. Step 5: Solve for x
    x = 100,359,705,616/201,936
  6. Step 6: Final answer
    x = 496,987.69

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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.