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Finding the Third Proportional to 224,871 and 341,911

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Solution

The third proportional to 224,871 and 341,911 is: 519,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,871 : 341,911 = 341,911 : x
  2. Step 2: Convert to fraction form
    224,871/341,911 = 341,911/x
  3. Step 3: Cross multiply
    224,871x = 341,911 × 341,911
  4. Step 4: Simplify right side
    224,871x = 116,903,131,921
  5. Step 5: Solve for x
    x = 116,903,131,921/224,871
  6. Step 6: Final answer
    x = 519,867.53

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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.