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Finding the Third Proportional to 190,092 and 403,404

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Solution

The third proportional to 190,092 and 403,404 is: 856,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,092 : 403,404 = 403,404 : x
  2. Step 2: Convert to fraction form
    190,092/403,404 = 403,404/x
  3. Step 3: Cross multiply
    190,092x = 403,404 × 403,404
  4. Step 4: Simplify right side
    190,092x = 162,734,787,216
  5. Step 5: Solve for x
    x = 162,734,787,216/190,092
  6. Step 6: Final answer
    x = 856,084.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.