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Finding the Third Proportional to 76,815 and 167,699.25

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Solution

The third proportional to 76,815 and 167,699.25 is: 366,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815 : 167,699.25 = 167,699.25 : x
  2. Step 2: Convert to fraction form
    76,815/167,699.25 = 167,699.25/x
  3. Step 3: Cross multiply
    76,815x = 167,699.25 × 167,699.25
  4. Step 4: Simplify right side
    76,815x = 28,123,038,450.56
  5. Step 5: Solve for x
    x = 28,123,038,450.56/76,815
  6. Step 6: Final answer
    x = 366,113.89

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