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Finding the Third Proportional to 222,738 and 485,686.50

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Solution

The third proportional to 222,738 and 485,686.50 is: 1,059,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,738 : 485,686.50 = 485,686.50 : x
  2. Step 2: Convert to fraction form
    222,738/485,686.50 = 485,686.50/x
  3. Step 3: Cross multiply
    222,738x = 485,686.50 × 485,686.50
  4. Step 4: Simplify right side
    222,738x = 235,891,376,282.25
  5. Step 5: Solve for x
    x = 235,891,376,282.25/222,738
  6. Step 6: Final answer
    x = 1,059,053.13

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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.