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Finding the Third Proportional to 120,933 and 262,570.50

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Solution

The third proportional to 120,933 and 262,570.50 is: 570,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,933 : 262,570.50 = 262,570.50 : x
  2. Step 2: Convert to fraction form
    120,933/262,570.50 = 262,570.50/x
  3. Step 3: Cross multiply
    120,933x = 262,570.50 × 262,570.50
  4. Step 4: Simplify right side
    120,933x = 68,943,267,470.25
  5. Step 5: Solve for x
    x = 68,943,267,470.25/120,933
  6. Step 6: Final answer
    x = 570,094.74

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