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Finding the Third Proportional to 142,731 and 222,266.25

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Solution

The third proportional to 142,731 and 222,266.25 is: 346,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,731 : 222,266.25 = 222,266.25 : x
  2. Step 2: Convert to fraction form
    142,731/222,266.25 = 222,266.25/x
  3. Step 3: Cross multiply
    142,731x = 222,266.25 × 222,266.25
  4. Step 4: Simplify right side
    142,731x = 49,402,285,889.06
  5. Step 5: Solve for x
    x = 49,402,285,889.06/142,731
  6. Step 6: Final answer
    x = 346,121.63

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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.