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Finding the Third Proportional to 120,864 and 265,893

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Solution

The third proportional to 120,864 and 265,893 is: 584,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864 : 265,893 = 265,893 : x
  2. Step 2: Convert to fraction form
    120,864/265,893 = 265,893/x
  3. Step 3: Cross multiply
    120,864x = 265,893 × 265,893
  4. Step 4: Simplify right side
    120,864x = 70,699,087,449
  5. Step 5: Solve for x
    x = 70,699,087,449/120,864
  6. Step 6: Final answer
    x = 584,947.44

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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.