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Finding the Third Proportional to 224,867 and 341,905

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Solution

The third proportional to 224,867 and 341,905 is: 519,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,867 : 341,905 = 341,905 : x
  2. Step 2: Convert to fraction form
    224,867/341,905 = 341,905/x
  3. Step 3: Cross multiply
    224,867x = 341,905 × 341,905
  4. Step 4: Simplify right side
    224,867x = 116,899,029,025
  5. Step 5: Solve for x
    x = 116,899,029,025/224,867
  6. Step 6: Final answer
    x = 519,858.53

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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.