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Finding the Third Proportional to 120,448 and 264,864

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Solution

The third proportional to 120,448 and 264,864 is: 582,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448 : 264,864 = 264,864 : x
  2. Step 2: Convert to fraction form
    120,448/264,864 = 264,864/x
  3. Step 3: Cross multiply
    120,448x = 264,864 × 264,864
  4. Step 4: Simplify right side
    120,448x = 70,152,938,496
  5. Step 5: Solve for x
    x = 70,152,938,496/120,448
  6. Step 6: Final answer
    x = 582,433.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.