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Finding the Third Proportional to 184,882 and 399,284

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Solution

The third proportional to 184,882 and 399,284 is: 862,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,882 : 399,284 = 399,284 : x
  2. Step 2: Convert to fraction form
    184,882/399,284 = 399,284/x
  3. Step 3: Cross multiply
    184,882x = 399,284 × 399,284
  4. Step 4: Simplify right side
    184,882x = 159,427,712,656
  5. Step 5: Solve for x
    x = 159,427,712,656/184,882
  6. Step 6: Final answer
    x = 862,321.44

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