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Finding the Third Proportional to 122,593 and 264,538.75

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Solution

The third proportional to 122,593 and 264,538.75 is: 570,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593 : 264,538.75 = 264,538.75 : x
  2. Step 2: Convert to fraction form
    122,593/264,538.75 = 264,538.75/x
  3. Step 3: Cross multiply
    122,593x = 264,538.75 × 264,538.75
  4. Step 4: Simplify right side
    122,593x = 69,980,750,251.56
  5. Step 5: Solve for x
    x = 69,980,750,251.56/122,593
  6. Step 6: Final answer
    x = 570,838.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.