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Finding the Third Proportional to 235,224 and 354,996

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Solution

The third proportional to 235,224 and 354,996 is: 535,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,224 : 354,996 = 354,996 : x
  2. Step 2: Convert to fraction form
    235,224/354,996 = 354,996/x
  3. Step 3: Cross multiply
    235,224x = 354,996 × 354,996
  4. Step 4: Simplify right side
    235,224x = 126,022,160,016
  5. Step 5: Solve for x
    x = 126,022,160,016/235,224
  6. Step 6: Final answer
    x = 535,753.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.