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Finding the Third Proportional to 190,693 and 411,374

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Solution

The third proportional to 190,693 and 411,374 is: 887,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,693 : 411,374 = 411,374 : x
  2. Step 2: Convert to fraction form
    190,693/411,374 = 411,374/x
  3. Step 3: Cross multiply
    190,693x = 411,374 × 411,374
  4. Step 4: Simplify right side
    190,693x = 169,228,567,876
  5. Step 5: Solve for x
    x = 169,228,567,876/190,693
  6. Step 6: Final answer
    x = 887,439.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.