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Finding the Third Proportional to 224,384 and 344,256

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Solution

The third proportional to 224,384 and 344,256 is: 528,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,384 : 344,256 = 344,256 : x
  2. Step 2: Convert to fraction form
    224,384/344,256 = 344,256/x
  3. Step 3: Cross multiply
    224,384x = 344,256 × 344,256
  4. Step 4: Simplify right side
    224,384x = 118,512,193,536
  5. Step 5: Solve for x
    x = 118,512,193,536/224,384
  6. Step 6: Final answer
    x = 528,166.86

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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.