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Finding the Third Proportional to 231,398 and 349,562

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Solution

The third proportional to 231,398 and 349,562 is: 528,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,398 : 349,562 = 349,562 : x
  2. Step 2: Convert to fraction form
    231,398/349,562 = 349,562/x
  3. Step 3: Cross multiply
    231,398x = 349,562 × 349,562
  4. Step 4: Simplify right side
    231,398x = 122,193,591,844
  5. Step 5: Solve for x
    x = 122,193,591,844/231,398
  6. Step 6: Final answer
    x = 528,066.76

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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.