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Finding the Third Proportional to 122,738 and 264,790

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Solution

The third proportional to 122,738 and 264,790 is: 571,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,738 : 264,790 = 264,790 : x
  2. Step 2: Convert to fraction form
    122,738/264,790 = 264,790/x
  3. Step 3: Cross multiply
    122,738x = 264,790 × 264,790
  4. Step 4: Simplify right side
    122,738x = 70,113,744,100
  5. Step 5: Solve for x
    x = 70,113,744,100/122,738
  6. Step 6: Final answer
    x = 571,247.24

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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.