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Finding the Third Proportional to 224,506 and 339,092

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Solution

The third proportional to 224,506 and 339,092 is: 512,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,506 : 339,092 = 339,092 : x
  2. Step 2: Convert to fraction form
    224,506/339,092 = 339,092/x
  3. Step 3: Cross multiply
    224,506x = 339,092 × 339,092
  4. Step 4: Simplify right side
    224,506x = 114,983,384,464
  5. Step 5: Solve for x
    x = 114,983,384,464/224,506
  6. Step 6: Final answer
    x = 512,161.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.