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Finding the Third Proportional to 231,394 and 349,558

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Solution

The third proportional to 231,394 and 349,558 is: 528,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,394 : 349,558 = 349,558 : x
  2. Step 2: Convert to fraction form
    231,394/349,558 = 349,558/x
  3. Step 3: Cross multiply
    231,394x = 349,558 × 349,558
  4. Step 4: Simplify right side
    231,394x = 122,190,795,364
  5. Step 5: Solve for x
    x = 122,190,795,364/231,394
  6. Step 6: Final answer
    x = 528,063.80

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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.