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Finding the Third Proportional to 104,616 and 222,300

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Solution

The third proportional to 104,616 and 222,300 is: 472,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,616 : 222,300 = 222,300 : x
  2. Step 2: Convert to fraction form
    104,616/222,300 = 222,300/x
  3. Step 3: Cross multiply
    104,616x = 222,300 × 222,300
  4. Step 4: Simplify right side
    104,616x = 49,417,290,000
  5. Step 5: Solve for x
    x = 49,417,290,000/104,616
  6. Step 6: Final answer
    x = 472,368.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.