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Finding the Third Proportional to 122,047.88 and 264,393.56

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Solution

The third proportional to 122,047.88 and 264,393.56 is: 572,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,047.88 : 264,393.56 = 264,393.56 : x
  2. Step 2: Convert to fraction form
    122,047.88/264,393.56 = 264,393.56/x
  3. Step 3: Cross multiply
    122,047.88x = 264,393.56 × 264,393.56
  4. Step 4: Simplify right side
    122,047.88x = 69,903,955,891.44
  5. Step 5: Solve for x
    x = 69,903,955,891.44/122,047.88
  6. Step 6: Final answer
    x = 572,758.48

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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.