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Finding the Third Proportional to 76,473 and 166,768.50

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Solution

The third proportional to 76,473 and 166,768.50 is: 363,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473 : 166,768.50 = 166,768.50 : x
  2. Step 2: Convert to fraction form
    76,473/166,768.50 = 166,768.50/x
  3. Step 3: Cross multiply
    76,473x = 166,768.50 × 166,768.50
  4. Step 4: Simplify right side
    76,473x = 27,811,732,592.25
  5. Step 5: Solve for x
    x = 27,811,732,592.25/76,473
  6. Step 6: Final answer
    x = 363,680.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.