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Finding the Third Proportional to 122,008 and 264,608

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Solution

The third proportional to 122,008 and 264,608 is: 573,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,008 : 264,608 = 264,608 : x
  2. Step 2: Convert to fraction form
    122,008/264,608 = 264,608/x
  3. Step 3: Cross multiply
    122,008x = 264,608 × 264,608
  4. Step 4: Simplify right side
    122,008x = 70,017,393,664
  5. Step 5: Solve for x
    x = 70,017,393,664/122,008
  6. Step 6: Final answer
    x = 573,875.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.