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Finding the Third Proportional to 238,809.75 and 519,051

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Solution

The third proportional to 238,809.75 and 519,051 is: 1,128,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,809.75 : 519,051 = 519,051 : x
  2. Step 2: Convert to fraction form
    238,809.75/519,051 = 519,051/x
  3. Step 3: Cross multiply
    238,809.75x = 519,051 × 519,051
  4. Step 4: Simplify right side
    238,809.75x = 269,413,940,601
  5. Step 5: Solve for x
    x = 269,413,940,601/238,809.75
  6. Step 6: Final answer
    x = 1,128,153.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.