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Finding the Third Proportional to 122,976 and 264,633

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Solution

The third proportional to 122,976 and 264,633 is: 569,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,976 : 264,633 = 264,633 : x
  2. Step 2: Convert to fraction form
    122,976/264,633 = 264,633/x
  3. Step 3: Cross multiply
    122,976x = 264,633 × 264,633
  4. Step 4: Simplify right side
    122,976x = 70,030,624,689
  5. Step 5: Solve for x
    x = 70,030,624,689/122,976
  6. Step 6: Final answer
    x = 569,465.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.