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Finding the Third Proportional to 122,006 and 264,604

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Solution

The third proportional to 122,006 and 264,604 is: 573,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006 : 264,604 = 264,604 : x
  2. Step 2: Convert to fraction form
    122,006/264,604 = 264,604/x
  3. Step 3: Cross multiply
    122,006x = 264,604 × 264,604
  4. Step 4: Simplify right side
    122,006x = 70,015,276,816
  5. Step 5: Solve for x
    x = 70,015,276,816/122,006
  6. Step 6: Final answer
    x = 573,867.49

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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.