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Finding the Third Proportional to 148,262 and 326,188

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Solution

The third proportional to 148,262 and 326,188 is: 717,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,262 : 326,188 = 326,188 : x
  2. Step 2: Convert to fraction form
    148,262/326,188 = 326,188/x
  3. Step 3: Cross multiply
    148,262x = 326,188 × 326,188
  4. Step 4: Simplify right side
    148,262x = 106,398,611,344
  5. Step 5: Solve for x
    x = 106,398,611,344/148,262
  6. Step 6: Final answer
    x = 717,639.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.