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Finding the Third Proportional to 234,414.56 and 350,076.94

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Solution

The third proportional to 234,414.56 and 350,076.94 is: 522,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,414.56 : 350,076.94 = 350,076.94 : x
  2. Step 2: Convert to fraction form
    234,414.56/350,076.94 = 350,076.94/x
  3. Step 3: Cross multiply
    234,414.56x = 350,076.94 × 350,076.94
  4. Step 4: Simplify right side
    234,414.56x = 122,553,862,169.38
  5. Step 5: Solve for x
    x = 122,553,862,169.38/234,414.56
  6. Step 6: Final answer
    x = 522,808.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.