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Finding the Third Proportional to 120,858.50 and 265,645

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Solution

The third proportional to 120,858.50 and 265,645 is: 583,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858.50 : 265,645 = 265,645 : x
  2. Step 2: Convert to fraction form
    120,858.50/265,645 = 265,645/x
  3. Step 3: Cross multiply
    120,858.50x = 265,645 × 265,645
  4. Step 4: Simplify right side
    120,858.50x = 70,567,266,025
  5. Step 5: Solve for x
    x = 70,567,266,025/120,858.50
  6. Step 6: Final answer
    x = 583,883.35

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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.