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Finding the Third Proportional to 224,340 and 344,823

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Solution

The third proportional to 224,340 and 344,823 is: 530,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,340 : 344,823 = 344,823 : x
  2. Step 2: Convert to fraction form
    224,340/344,823 = 344,823/x
  3. Step 3: Cross multiply
    224,340x = 344,823 × 344,823
  4. Step 4: Simplify right side
    224,340x = 118,902,901,329
  5. Step 5: Solve for x
    x = 118,902,901,329/224,340
  6. Step 6: Final answer
    x = 530,012.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.