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Finding the Third Proportional to 142,490.25 and 222,362.25

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Solution

The third proportional to 142,490.25 and 222,362.25 is: 347,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,490.25 : 222,362.25 = 222,362.25 : x
  2. Step 2: Convert to fraction form
    142,490.25/222,362.25 = 222,362.25/x
  3. Step 3: Cross multiply
    142,490.25x = 222,362.25 × 222,362.25
  4. Step 4: Simplify right side
    142,490.25x = 49,444,970,225.06
  5. Step 5: Solve for x
    x = 49,444,970,225.06/142,490.25
  6. Step 6: Final answer
    x = 347,005.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.