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Finding the Third Proportional to 146,731.78 and 233,411.06

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Solution

The third proportional to 146,731.78 and 233,411.06 is: 371,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731.78 : 233,411.06 = 233,411.06 : x
  2. Step 2: Convert to fraction form
    146,731.78/233,411.06 = 233,411.06/x
  3. Step 3: Cross multiply
    146,731.78x = 233,411.06 × 233,411.06
  4. Step 4: Simplify right side
    146,731.78x = 54,480,724,097.38
  5. Step 5: Solve for x
    x = 54,480,724,097.38/146,731.78
  6. Step 6: Final answer
    x = 371,294.64

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