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Finding the Third Proportional to 131,608 and 194,502

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Solution

The third proportional to 131,608 and 194,502 is: 287,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,608 : 194,502 = 194,502 : x
  2. Step 2: Convert to fraction form
    131,608/194,502 = 194,502/x
  3. Step 3: Cross multiply
    131,608x = 194,502 × 194,502
  4. Step 4: Simplify right side
    131,608x = 37,831,028,004
  5. Step 5: Solve for x
    x = 37,831,028,004/131,608
  6. Step 6: Final answer
    x = 287,452.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.