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Finding the Third Proportional to 122,792 and 264,904

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Solution

The third proportional to 122,792 and 264,904 is: 571,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,792 : 264,904 = 264,904 : x
  2. Step 2: Convert to fraction form
    122,792/264,904 = 264,904/x
  3. Step 3: Cross multiply
    122,792x = 264,904 × 264,904
  4. Step 4: Simplify right side
    122,792x = 70,174,129,216
  5. Step 5: Solve for x
    x = 70,174,129,216/122,792
  6. Step 6: Final answer
    x = 571,487.79

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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.