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Finding the Third Proportional to 235,186 and 354,966

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Solution

The third proportional to 235,186 and 354,966 is: 535,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,186 : 354,966 = 354,966 : x
  2. Step 2: Convert to fraction form
    235,186/354,966 = 354,966/x
  3. Step 3: Cross multiply
    235,186x = 354,966 × 354,966
  4. Step 4: Simplify right side
    235,186x = 126,000,861,156
  5. Step 5: Solve for x
    x = 126,000,861,156/235,186
  6. Step 6: Final answer
    x = 535,749.84

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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.