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Finding the Third Proportional to 122,994 and 264,864

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Solution

The third proportional to 122,994 and 264,864 is: 570,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,994 : 264,864 = 264,864 : x
  2. Step 2: Convert to fraction form
    122,994/264,864 = 264,864/x
  3. Step 3: Cross multiply
    122,994x = 264,864 × 264,864
  4. Step 4: Simplify right side
    122,994x = 70,152,938,496
  5. Step 5: Solve for x
    x = 70,152,938,496/122,994
  6. Step 6: Final answer
    x = 570,376.92

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