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Finding the Third Proportional to 133,032 and 194,586

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Solution

The third proportional to 133,032 and 194,586 is: 284,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 194,586 = 194,586 : x
  2. Step 2: Convert to fraction form
    133,032/194,586 = 194,586/x
  3. Step 3: Cross multiply
    133,032x = 194,586 × 194,586
  4. Step 4: Simplify right side
    133,032x = 37,863,711,396
  5. Step 5: Solve for x
    x = 37,863,711,396/133,032
  6. Step 6: Final answer
    x = 284,621.08

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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.