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Finding the Third Proportional to 133,309.50 and 212,007

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Solution

The third proportional to 133,309.50 and 212,007 is: 337,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,309.50 : 212,007 = 212,007 : x
  2. Step 2: Convert to fraction form
    133,309.50/212,007 = 212,007/x
  3. Step 3: Cross multiply
    133,309.50x = 212,007 × 212,007
  4. Step 4: Simplify right side
    133,309.50x = 44,946,968,049
  5. Step 5: Solve for x
    x = 44,946,968,049/133,309.50
  6. Step 6: Final answer
    x = 337,162.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.