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Finding the Third Proportional to 76,084.31 and 166,518.28

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Solution

The third proportional to 76,084.31 and 166,518.28 is: 364,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084.31 : 166,518.28 = 166,518.28 : x
  2. Step 2: Convert to fraction form
    76,084.31/166,518.28 = 166,518.28/x
  3. Step 3: Cross multiply
    76,084.31x = 166,518.28 × 166,518.28
  4. Step 4: Simplify right side
    76,084.31x = 27,728,337,990.45
  5. Step 5: Solve for x
    x = 27,728,337,990.45/76,084.31
  6. Step 6: Final answer
    x = 364,442.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.