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Finding the Third Proportional to 120,774.75 and 262,360.31

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Solution

The third proportional to 120,774.75 and 262,360.31 is: 569,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,774.75 : 262,360.31 = 262,360.31 : x
  2. Step 2: Convert to fraction form
    120,774.75/262,360.31 = 262,360.31/x
  3. Step 3: Cross multiply
    120,774.75x = 262,360.31 × 262,360.31
  4. Step 4: Simplify right side
    120,774.75x = 68,832,933,575.10
  5. Step 5: Solve for x
    x = 68,832,933,575.10/120,774.75
  6. Step 6: Final answer
    x = 569,928.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.