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Finding the Third Proportional to 84,264 and 184,362

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Solution

The third proportional to 84,264 and 184,362 is: 403,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,264 : 184,362 = 184,362 : x
  2. Step 2: Convert to fraction form
    84,264/184,362 = 184,362/x
  3. Step 3: Cross multiply
    84,264x = 184,362 × 184,362
  4. Step 4: Simplify right side
    84,264x = 33,989,347,044
  5. Step 5: Solve for x
    x = 33,989,347,044/84,264
  6. Step 6: Final answer
    x = 403,367.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.