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Finding the Third Proportional to 235,116 and 342,608

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Solution

The third proportional to 235,116 and 342,608 is: 499,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,116 : 342,608 = 342,608 : x
  2. Step 2: Convert to fraction form
    235,116/342,608 = 342,608/x
  3. Step 3: Cross multiply
    235,116x = 342,608 × 342,608
  4. Step 4: Simplify right side
    235,116x = 117,380,241,664
  5. Step 5: Solve for x
    x = 117,380,241,664/235,116
  6. Step 6: Final answer
    x = 499,243.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.