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Finding the Third Proportional to 184,968 and 399,072

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Solution

The third proportional to 184,968 and 399,072 is: 861,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,968 : 399,072 = 399,072 : x
  2. Step 2: Convert to fraction form
    184,968/399,072 = 399,072/x
  3. Step 3: Cross multiply
    184,968x = 399,072 × 399,072
  4. Step 4: Simplify right side
    184,968x = 159,258,461,184
  5. Step 5: Solve for x
    x = 159,258,461,184/184,968
  6. Step 6: Final answer
    x = 861,005.48

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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.