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Finding the Third Proportional to 224,924 and 339,693

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Solution

The third proportional to 224,924 and 339,693 is: 513,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,924 : 339,693 = 339,693 : x
  2. Step 2: Convert to fraction form
    224,924/339,693 = 339,693/x
  3. Step 3: Cross multiply
    224,924x = 339,693 × 339,693
  4. Step 4: Simplify right side
    224,924x = 115,391,334,249
  5. Step 5: Solve for x
    x = 115,391,334,249/224,924
  6. Step 6: Final answer
    x = 513,023.66

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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.