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Finding the Third Proportional to 84,442 and 184,436

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Solution

The third proportional to 84,442 and 184,436 is: 402,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,442 : 184,436 = 184,436 : x
  2. Step 2: Convert to fraction form
    84,442/184,436 = 184,436/x
  3. Step 3: Cross multiply
    84,442x = 184,436 × 184,436
  4. Step 4: Simplify right side
    84,442x = 34,016,638,096
  5. Step 5: Solve for x
    x = 34,016,638,096/84,442
  6. Step 6: Final answer
    x = 402,840.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.