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Finding the Third Proportional to 148,968 and 227,922

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Solution

The third proportional to 148,968 and 227,922 is: 348,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968 : 227,922 = 227,922 : x
  2. Step 2: Convert to fraction form
    148,968/227,922 = 227,922/x
  3. Step 3: Cross multiply
    148,968x = 227,922 × 227,922
  4. Step 4: Simplify right side
    148,968x = 51,948,438,084
  5. Step 5: Solve for x
    x = 51,948,438,084/148,968
  6. Step 6: Final answer
    x = 348,722.13

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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.