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Finding the Third Proportional to 122,960 and 265,296

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Solution

The third proportional to 122,960 and 265,296 is: 572,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,960 : 265,296 = 265,296 : x
  2. Step 2: Convert to fraction form
    122,960/265,296 = 265,296/x
  3. Step 3: Cross multiply
    122,960x = 265,296 × 265,296
  4. Step 4: Simplify right side
    122,960x = 70,381,967,616
  5. Step 5: Solve for x
    x = 70,381,967,616/122,960
  6. Step 6: Final answer
    x = 572,397.26

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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.