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Finding the Third Proportional to 123,250 and 262,884

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Solution

The third proportional to 123,250 and 262,884 is: 560,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,250 : 262,884 = 262,884 : x
  2. Step 2: Convert to fraction form
    123,250/262,884 = 262,884/x
  3. Step 3: Cross multiply
    123,250x = 262,884 × 262,884
  4. Step 4: Simplify right side
    123,250x = 69,107,997,456
  5. Step 5: Solve for x
    x = 69,107,997,456/123,250
  6. Step 6: Final answer
    x = 560,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.