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Finding the Third Proportional to 122,250 and 257,775

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Solution

The third proportional to 122,250 and 257,775 is: 543,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,250 : 257,775 = 257,775 : x
  2. Step 2: Convert to fraction form
    122,250/257,775 = 257,775/x
  3. Step 3: Cross multiply
    122,250x = 257,775 × 257,775
  4. Step 4: Simplify right side
    122,250x = 66,447,950,625
  5. Step 5: Solve for x
    x = 66,447,950,625/122,250
  6. Step 6: Final answer
    x = 543,541.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.