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Finding the Third Proportional to 188,472 and 403,092

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Solution

The third proportional to 188,472 and 403,092 is: 862,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,472 : 403,092 = 403,092 : x
  2. Step 2: Convert to fraction form
    188,472/403,092 = 403,092/x
  3. Step 3: Cross multiply
    188,472x = 403,092 × 403,092
  4. Step 4: Simplify right side
    188,472x = 162,483,160,464
  5. Step 5: Solve for x
    x = 162,483,160,464/188,472
  6. Step 6: Final answer
    x = 862,107.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.