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Finding the Third Proportional to 231,424 and 349,600

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Solution

The third proportional to 231,424 and 349,600 is: 528,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,424 : 349,600 = 349,600 : x
  2. Step 2: Convert to fraction form
    231,424/349,600 = 349,600/x
  3. Step 3: Cross multiply
    231,424x = 349,600 × 349,600
  4. Step 4: Simplify right side
    231,424x = 122,220,160,000
  5. Step 5: Solve for x
    x = 122,220,160,000/231,424
  6. Step 6: Final answer
    x = 528,122.23

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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.