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Finding the Third Proportional to 102,183.12 and 238,669.88

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Solution

The third proportional to 102,183.12 and 238,669.88 is: 557,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,183.12 : 238,669.88 = 238,669.88 : x
  2. Step 2: Convert to fraction form
    102,183.12/238,669.88 = 238,669.88/x
  3. Step 3: Cross multiply
    102,183.12x = 238,669.88 × 238,669.88
  4. Step 4: Simplify right side
    102,183.12x = 56,963,309,232.52
  5. Step 5: Solve for x
    x = 56,963,309,232.52/102,183.12
  6. Step 6: Final answer
    x = 557,463.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.