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Finding the Third Proportional to 84,848 and 184,442

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Solution

The third proportional to 84,848 and 184,442 is: 400,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,848 : 184,442 = 184,442 : x
  2. Step 2: Convert to fraction form
    84,848/184,442 = 184,442/x
  3. Step 3: Cross multiply
    84,848x = 184,442 × 184,442
  4. Step 4: Simplify right side
    84,848x = 34,018,851,364
  5. Step 5: Solve for x
    x = 34,018,851,364/84,848
  6. Step 6: Final answer
    x = 400,938.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.