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Finding the Third Proportional to 120,643 and 265,077

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Solution

The third proportional to 120,643 and 265,077 is: 582,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643 : 265,077 = 265,077 : x
  2. Step 2: Convert to fraction form
    120,643/265,077 = 265,077/x
  3. Step 3: Cross multiply
    120,643x = 265,077 × 265,077
  4. Step 4: Simplify right side
    120,643x = 70,265,815,929
  5. Step 5: Solve for x
    x = 70,265,815,929/120,643
  6. Step 6: Final answer
    x = 582,427.62

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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.