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Finding the Third Proportional to 131,361.75 and 208,038.75

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Solution

The third proportional to 131,361.75 and 208,038.75 is: 329,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,361.75 : 208,038.75 = 208,038.75 : x
  2. Step 2: Convert to fraction form
    131,361.75/208,038.75 = 208,038.75/x
  3. Step 3: Cross multiply
    131,361.75x = 208,038.75 × 208,038.75
  4. Step 4: Simplify right side
    131,361.75x = 43,280,121,501.56
  5. Step 5: Solve for x
    x = 43,280,121,501.56/131,361.75
  6. Step 6: Final answer
    x = 329,472.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.