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Finding the Third Proportional to 231,367.50 and 349,965

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Solution

The third proportional to 231,367.50 and 349,965 is: 529,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,367.50 : 349,965 = 349,965 : x
  2. Step 2: Convert to fraction form
    231,367.50/349,965 = 349,965/x
  3. Step 3: Cross multiply
    231,367.50x = 349,965 × 349,965
  4. Step 4: Simplify right side
    231,367.50x = 122,475,501,225
  5. Step 5: Solve for x
    x = 122,475,501,225/231,367.50
  6. Step 6: Final answer
    x = 529,354.82

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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.