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Finding the Third Proportional to 147,476 and 225,512

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Solution

The third proportional to 147,476 and 225,512 is: 344,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,476 : 225,512 = 225,512 : x
  2. Step 2: Convert to fraction form
    147,476/225,512 = 225,512/x
  3. Step 3: Cross multiply
    147,476x = 225,512 × 225,512
  4. Step 4: Simplify right side
    147,476x = 50,855,662,144
  5. Step 5: Solve for x
    x = 50,855,662,144/147,476
  6. Step 6: Final answer
    x = 344,840.26

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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.