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Finding the Third Proportional to 84,357 and 184,284

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Solution

The third proportional to 84,357 and 184,284 is: 402,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,357 : 184,284 = 184,284 : x
  2. Step 2: Convert to fraction form
    84,357/184,284 = 184,284/x
  3. Step 3: Cross multiply
    84,357x = 184,284 × 184,284
  4. Step 4: Simplify right side
    84,357x = 33,960,592,656
  5. Step 5: Solve for x
    x = 33,960,592,656/84,357
  6. Step 6: Final answer
    x = 402,581.80

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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.