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Finding the Third Proportional to 203,880 and 310,315.50

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Solution

The third proportional to 203,880 and 310,315.50 is: 472,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,880 : 310,315.50 = 310,315.50 : x
  2. Step 2: Convert to fraction form
    203,880/310,315.50 = 310,315.50/x
  3. Step 3: Cross multiply
    203,880x = 310,315.50 × 310,315.50
  4. Step 4: Simplify right side
    203,880x = 96,295,709,540.25
  5. Step 5: Solve for x
    x = 96,295,709,540.25/203,880
  6. Step 6: Final answer
    x = 472,315.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.