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Finding the Third Proportional to 190,008 and 401,472

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Solution

The third proportional to 190,008 and 401,472 is: 848,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,008 : 401,472 = 401,472 : x
  2. Step 2: Convert to fraction form
    190,008/401,472 = 401,472/x
  3. Step 3: Cross multiply
    190,008x = 401,472 × 401,472
  4. Step 4: Simplify right side
    190,008x = 161,179,766,784
  5. Step 5: Solve for x
    x = 161,179,766,784/190,008
  6. Step 6: Final answer
    x = 848,278.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.