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Finding the Third Proportional to 131,731 and 204,354.50

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Solution

The third proportional to 131,731 and 204,354.50 is: 317,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,731 : 204,354.50 = 204,354.50 : x
  2. Step 2: Convert to fraction form
    131,731/204,354.50 = 204,354.50/x
  3. Step 3: Cross multiply
    131,731x = 204,354.50 × 204,354.50
  4. Step 4: Simplify right side
    131,731x = 41,760,761,670.25
  5. Step 5: Solve for x
    x = 41,760,761,670.25/131,731
  6. Step 6: Final answer
    x = 317,015.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.