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Finding the Third Proportional to 122,953.50 and 267,228

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Solution

The third proportional to 122,953.50 and 267,228 is: 580,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,953.50 : 267,228 = 267,228 : x
  2. Step 2: Convert to fraction form
    122,953.50/267,228 = 267,228/x
  3. Step 3: Cross multiply
    122,953.50x = 267,228 × 267,228
  4. Step 4: Simplify right side
    122,953.50x = 71,410,803,984
  5. Step 5: Solve for x
    x = 71,410,803,984/122,953.50
  6. Step 6: Final answer
    x = 580,795.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.