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Finding the Third Proportional to 133,098 and 194,683

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Solution

The third proportional to 133,098 and 194,683 is: 284,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 194,683 = 194,683 : x
  2. Step 2: Convert to fraction form
    133,098/194,683 = 194,683/x
  3. Step 3: Cross multiply
    133,098x = 194,683 × 194,683
  4. Step 4: Simplify right side
    133,098x = 37,901,470,489
  5. Step 5: Solve for x
    x = 37,901,470,489/133,098
  6. Step 6: Final answer
    x = 284,763.64

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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.