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Finding the Third Proportional to 104,482 and 222,276

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Solution

The third proportional to 104,482 and 222,276 is: 472,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,482 : 222,276 = 222,276 : x
  2. Step 2: Convert to fraction form
    104,482/222,276 = 222,276/x
  3. Step 3: Cross multiply
    104,482x = 222,276 × 222,276
  4. Step 4: Simplify right side
    104,482x = 49,406,620,176
  5. Step 5: Solve for x
    x = 49,406,620,176/104,482
  6. Step 6: Final answer
    x = 472,872.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.