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Finding the Third Proportional to 84,474 and 184,482

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Solution

The third proportional to 84,474 and 184,482 is: 402,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,474 : 184,482 = 184,482 : x
  2. Step 2: Convert to fraction form
    84,474/184,482 = 184,482/x
  3. Step 3: Cross multiply
    84,474x = 184,482 × 184,482
  4. Step 4: Simplify right side
    84,474x = 34,033,608,324
  5. Step 5: Solve for x
    x = 34,033,608,324/84,474
  6. Step 6: Final answer
    x = 402,888.56

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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.