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Finding the Third Proportional to 76,347 and 166,245.50

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Solution

The third proportional to 76,347 and 166,245.50 is: 361,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347 : 166,245.50 = 166,245.50 : x
  2. Step 2: Convert to fraction form
    76,347/166,245.50 = 166,245.50/x
  3. Step 3: Cross multiply
    76,347x = 166,245.50 × 166,245.50
  4. Step 4: Simplify right side
    76,347x = 27,637,566,270.25
  5. Step 5: Solve for x
    x = 27,637,566,270.25/76,347
  6. Step 6: Final answer
    x = 361,999.37

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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.