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Finding the Third Proportional to 231,066 and 349,743

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Solution

The third proportional to 231,066 and 349,743 is: 529,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,066 : 349,743 = 349,743 : x
  2. Step 2: Convert to fraction form
    231,066/349,743 = 349,743/x
  3. Step 3: Cross multiply
    231,066x = 349,743 × 349,743
  4. Step 4: Simplify right side
    231,066x = 122,320,166,049
  5. Step 5: Solve for x
    x = 122,320,166,049/231,066
  6. Step 6: Final answer
    x = 529,373.28

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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.