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Finding the Third Proportional to 184,792 and 399,128

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Solution

The third proportional to 184,792 and 399,128 is: 862,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,792 : 399,128 = 399,128 : x
  2. Step 2: Convert to fraction form
    184,792/399,128 = 399,128/x
  3. Step 3: Cross multiply
    184,792x = 399,128 × 399,128
  4. Step 4: Simplify right side
    184,792x = 159,303,160,384
  5. Step 5: Solve for x
    x = 159,303,160,384/184,792
  6. Step 6: Final answer
    x = 862,067.41

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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.