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Finding the Third Proportional to 194,942 and 236,498

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Solution

The third proportional to 194,942 and 236,498 is: 286,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,942 : 236,498 = 236,498 : x
  2. Step 2: Convert to fraction form
    194,942/236,498 = 236,498/x
  3. Step 3: Cross multiply
    194,942x = 236,498 × 236,498
  4. Step 4: Simplify right side
    194,942x = 55,931,304,004
  5. Step 5: Solve for x
    x = 55,931,304,004/194,942
  6. Step 6: Final answer
    x = 286,912.54

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.