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Finding the Third Proportional to 131,702.25 and 310,793.25

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Solution

The third proportional to 131,702.25 and 310,793.25 is: 733,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,702.25 : 310,793.25 = 310,793.25 : x
  2. Step 2: Convert to fraction form
    131,702.25/310,793.25 = 310,793.25/x
  3. Step 3: Cross multiply
    131,702.25x = 310,793.25 × 310,793.25
  4. Step 4: Simplify right side
    131,702.25x = 96,592,444,245.56
  5. Step 5: Solve for x
    x = 96,592,444,245.56/131,702.25
  6. Step 6: Final answer
    x = 733,415.29

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.