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Finding the Third Proportional to 122,974 and 264,629

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Solution

The third proportional to 122,974 and 264,629 is: 569,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,974 : 264,629 = 264,629 : x
  2. Step 2: Convert to fraction form
    122,974/264,629 = 264,629/x
  3. Step 3: Cross multiply
    122,974x = 264,629 × 264,629
  4. Step 4: Simplify right side
    122,974x = 70,028,507,641
  5. Step 5: Solve for x
    x = 70,028,507,641/122,974
  6. Step 6: Final answer
    x = 569,457.83

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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.