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Finding the Third Proportional to 159,703 and 222,055.50

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Solution

The third proportional to 159,703 and 222,055.50 is: 308,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,703 : 222,055.50 = 222,055.50 : x
  2. Step 2: Convert to fraction form
    159,703/222,055.50 = 222,055.50/x
  3. Step 3: Cross multiply
    159,703x = 222,055.50 × 222,055.50
  4. Step 4: Simplify right side
    159,703x = 49,308,645,080.25
  5. Step 5: Solve for x
    x = 49,308,645,080.25/159,703
  6. Step 6: Final answer
    x = 308,752.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.