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Finding the Third Proportional to 102,174.50 and 222,739.50

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Solution

The third proportional to 102,174.50 and 222,739.50 is: 485,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.50 : 222,739.50 = 222,739.50 : x
  2. Step 2: Convert to fraction form
    102,174.50/222,739.50 = 222,739.50/x
  3. Step 3: Cross multiply
    102,174.50x = 222,739.50 × 222,739.50
  4. Step 4: Simplify right side
    102,174.50x = 49,612,884,860.25
  5. Step 5: Solve for x
    x = 49,612,884,860.25/102,174.50
  6. Step 6: Final answer
    x = 485,570.13

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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.