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Finding the Third Proportional to 109,176.75 and 238,719.38

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Solution

The third proportional to 109,176.75 and 238,719.38 is: 521,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,176.75 : 238,719.38 = 238,719.38 : x
  2. Step 2: Convert to fraction form
    109,176.75/238,719.38 = 238,719.38/x
  3. Step 3: Cross multiply
    109,176.75x = 238,719.38 × 238,719.38
  4. Step 4: Simplify right side
    109,176.75x = 56,986,940,000.39
  5. Step 5: Solve for x
    x = 56,986,940,000.39/109,176.75
  6. Step 6: Final answer
    x = 521,969.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.