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Finding the Third Proportional to 148,918 and 324,611

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Solution

The third proportional to 148,918 and 324,611 is: 707,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,918 : 324,611 = 324,611 : x
  2. Step 2: Convert to fraction form
    148,918/324,611 = 324,611/x
  3. Step 3: Cross multiply
    148,918x = 324,611 × 324,611
  4. Step 4: Simplify right side
    148,918x = 105,372,301,321
  5. Step 5: Solve for x
    x = 105,372,301,321/148,918
  6. Step 6: Final answer
    x = 707,586.06

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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.