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Finding the Third Proportional to 148,876 and 324,476

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Solution

The third proportional to 148,876 and 324,476 is: 707,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,876 : 324,476 = 324,476 : x
  2. Step 2: Convert to fraction form
    148,876/324,476 = 324,476/x
  3. Step 3: Cross multiply
    148,876x = 324,476 × 324,476
  4. Step 4: Simplify right side
    148,876x = 105,284,674,576
  5. Step 5: Solve for x
    x = 105,284,674,576/148,876
  6. Step 6: Final answer
    x = 707,197.09

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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.