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Finding the Third Proportional to 122,696 and 264,723

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Solution

The third proportional to 122,696 and 264,723 is: 571,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,696 : 264,723 = 264,723 : x
  2. Step 2: Convert to fraction form
    122,696/264,723 = 264,723/x
  3. Step 3: Cross multiply
    122,696x = 264,723 × 264,723
  4. Step 4: Simplify right side
    122,696x = 70,078,266,729
  5. Step 5: Solve for x
    x = 70,078,266,729/122,696
  6. Step 6: Final answer
    x = 571,153.64

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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.