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Finding the Third Proportional to 147,908 and 225,696

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Solution

The third proportional to 147,908 and 225,696 is: 344,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,908 : 225,696 = 225,696 : x
  2. Step 2: Convert to fraction form
    147,908/225,696 = 225,696/x
  3. Step 3: Cross multiply
    147,908x = 225,696 × 225,696
  4. Step 4: Simplify right side
    147,908x = 50,938,684,416
  5. Step 5: Solve for x
    x = 50,938,684,416/147,908
  6. Step 6: Final answer
    x = 344,394.38

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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.