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Finding the Third Proportional to 148,456 and 226,428

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Solution

The third proportional to 148,456 and 226,428 is: 345,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,456 : 226,428 = 226,428 : x
  2. Step 2: Convert to fraction form
    148,456/226,428 = 226,428/x
  3. Step 3: Cross multiply
    148,456x = 226,428 × 226,428
  4. Step 4: Simplify right side
    148,456x = 51,269,639,184
  5. Step 5: Solve for x
    x = 51,269,639,184/148,456
  6. Step 6: Final answer
    x = 345,352.42

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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.