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Finding the Third Proportional to 148,388 and 227,496

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Solution

The third proportional to 148,388 and 227,496 is: 348,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,388 : 227,496 = 227,496 : x
  2. Step 2: Convert to fraction form
    148,388/227,496 = 227,496/x
  3. Step 3: Cross multiply
    148,388x = 227,496 × 227,496
  4. Step 4: Simplify right side
    148,388x = 51,754,430,016
  5. Step 5: Solve for x
    x = 51,754,430,016/148,388
  6. Step 6: Final answer
    x = 348,777.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.