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Finding the Third Proportional to 226,372 and 344,476

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Solution

The third proportional to 226,372 and 344,476 is: 524,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,372 : 344,476 = 344,476 : x
  2. Step 2: Convert to fraction form
    226,372/344,476 = 344,476/x
  3. Step 3: Cross multiply
    226,372x = 344,476 × 344,476
  4. Step 4: Simplify right side
    226,372x = 118,663,714,576
  5. Step 5: Solve for x
    x = 118,663,714,576/226,372
  6. Step 6: Final answer
    x = 524,197.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.