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Finding the Third Proportional to 122,004 and 264,600

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Solution

The third proportional to 122,004 and 264,600 is: 573,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,004 : 264,600 = 264,600 : x
  2. Step 2: Convert to fraction form
    122,004/264,600 = 264,600/x
  3. Step 3: Cross multiply
    122,004x = 264,600 × 264,600
  4. Step 4: Simplify right side
    122,004x = 70,013,160,000
  5. Step 5: Solve for x
    x = 70,013,160,000/122,004
  6. Step 6: Final answer
    x = 573,859.55

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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.