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Finding the Third Proportional to 122,664 and 264,672

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Solution

The third proportional to 122,664 and 264,672 is: 571,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,664 : 264,672 = 264,672 : x
  2. Step 2: Convert to fraction form
    122,664/264,672 = 264,672/x
  3. Step 3: Cross multiply
    122,664x = 264,672 × 264,672
  4. Step 4: Simplify right side
    122,664x = 70,051,267,584
  5. Step 5: Solve for x
    x = 70,051,267,584/122,664
  6. Step 6: Final answer
    x = 571,082.53

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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.