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Finding the Third Proportional to 120,721.41 and 262,432.78

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Solution

The third proportional to 120,721.41 and 262,432.78 is: 570,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,721.41 : 262,432.78 = 262,432.78 : x
  2. Step 2: Convert to fraction form
    120,721.41/262,432.78 = 262,432.78/x
  3. Step 3: Cross multiply
    120,721.41x = 262,432.78 × 262,432.78
  4. Step 4: Simplify right side
    120,721.41x = 68,870,964,674.61
  5. Step 5: Solve for x
    x = 68,870,964,674.61/120,721.41
  6. Step 6: Final answer
    x = 570,495.05

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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.