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Finding the Third Proportional to 122,800 and 264,491

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Solution

The third proportional to 122,800 and 264,491 is: 569,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,800 : 264,491 = 264,491 : x
  2. Step 2: Convert to fraction form
    122,800/264,491 = 264,491/x
  3. Step 3: Cross multiply
    122,800x = 264,491 × 264,491
  4. Step 4: Simplify right side
    122,800x = 69,955,489,081
  5. Step 5: Solve for x
    x = 69,955,489,081/122,800
  6. Step 6: Final answer
    x = 569,670.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.