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Finding the Third Proportional to 122,724 and 264,778

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Solution

The third proportional to 122,724 and 264,778 is: 571,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,724 : 264,778 = 264,778 : x
  2. Step 2: Convert to fraction form
    122,724/264,778 = 264,778/x
  3. Step 3: Cross multiply
    122,724x = 264,778 × 264,778
  4. Step 4: Simplify right side
    122,724x = 70,107,389,284
  5. Step 5: Solve for x
    x = 70,107,389,284/122,724
  6. Step 6: Final answer
    x = 571,260.63

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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.