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Finding the Third Proportional to 195,657.19 and 311,235.75

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Solution

The third proportional to 195,657.19 and 311,235.75 is: 495,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,657.19 : 311,235.75 = 311,235.75 : x
  2. Step 2: Convert to fraction form
    195,657.19/311,235.75 = 311,235.75/x
  3. Step 3: Cross multiply
    195,657.19x = 311,235.75 × 311,235.75
  4. Step 4: Simplify right side
    195,657.19x = 96,867,692,078.06
  5. Step 5: Solve for x
    x = 96,867,692,078.06/195,657.19
  6. Step 6: Final answer
    x = 495,088.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.