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Finding the Third Proportional to 101,256.75 and 234,417.38

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Solution

The third proportional to 101,256.75 and 234,417.38 is: 542,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,256.75 : 234,417.38 = 234,417.38 : x
  2. Step 2: Convert to fraction form
    101,256.75/234,417.38 = 234,417.38/x
  3. Step 3: Cross multiply
    101,256.75x = 234,417.38 × 234,417.38
  4. Step 4: Simplify right side
    101,256.75x = 54,951,505,701.89
  5. Step 5: Solve for x
    x = 54,951,505,701.89/101,256.75
  6. Step 6: Final answer
    x = 542,694.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.