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Finding the Third Proportional to 122,607 and 264,579.75

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Solution

The third proportional to 122,607 and 264,579.75 is: 570,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,607 : 264,579.75 = 264,579.75 : x
  2. Step 2: Convert to fraction form
    122,607/264,579.75 = 264,579.75/x
  3. Step 3: Cross multiply
    122,607x = 264,579.75 × 264,579.75
  4. Step 4: Simplify right side
    122,607x = 70,002,444,110.06
  5. Step 5: Solve for x
    x = 70,002,444,110.06/122,607
  6. Step 6: Final answer
    x = 570,949.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.