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Finding the Third Proportional to 120,855 and 265,875

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Solution

The third proportional to 120,855 and 265,875 is: 584,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855 : 265,875 = 265,875 : x
  2. Step 2: Convert to fraction form
    120,855/265,875 = 265,875/x
  3. Step 3: Cross multiply
    120,855x = 265,875 × 265,875
  4. Step 4: Simplify right side
    120,855x = 70,689,515,625
  5. Step 5: Solve for x
    x = 70,689,515,625/120,855
  6. Step 6: Final answer
    x = 584,911.80

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