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Finding the Third Proportional to 226,364 and 344,464

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Solution

The third proportional to 226,364 and 344,464 is: 524,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,364 : 344,464 = 344,464 : x
  2. Step 2: Convert to fraction form
    226,364/344,464 = 344,464/x
  3. Step 3: Cross multiply
    226,364x = 344,464 × 344,464
  4. Step 4: Simplify right side
    226,364x = 118,655,447,296
  5. Step 5: Solve for x
    x = 118,655,447,296/226,364
  6. Step 6: Final answer
    x = 524,179.85

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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.