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Finding the Third Proportional to 122,044.50 and 257,211

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Solution

The third proportional to 122,044.50 and 257,211 is: 542,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,044.50 : 257,211 = 257,211 : x
  2. Step 2: Convert to fraction form
    122,044.50/257,211 = 257,211/x
  3. Step 3: Cross multiply
    122,044.50x = 257,211 × 257,211
  4. Step 4: Simplify right side
    122,044.50x = 66,157,498,521
  5. Step 5: Solve for x
    x = 66,157,498,521/122,044.50
  6. Step 6: Final answer
    x = 542,076.85

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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.