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Finding the Third Proportional to 145,024 and 222,976

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Solution

The third proportional to 145,024 and 222,976 is: 342,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,024 : 222,976 = 222,976 : x
  2. Step 2: Convert to fraction form
    145,024/222,976 = 222,976/x
  3. Step 3: Cross multiply
    145,024x = 222,976 × 222,976
  4. Step 4: Simplify right side
    145,024x = 49,718,296,576
  5. Step 5: Solve for x
    x = 49,718,296,576/145,024
  6. Step 6: Final answer
    x = 342,828.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.