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Finding the Third Proportional to 151,381.41 and 318,447.70

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Solution

The third proportional to 151,381.41 and 318,447.70 is: 669,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,381.41 : 318,447.70 = 318,447.70 : x
  2. Step 2: Convert to fraction form
    151,381.41/318,447.70 = 318,447.70/x
  3. Step 3: Cross multiply
    151,381.41x = 318,447.70 × 318,447.70
  4. Step 4: Simplify right side
    151,381.41x = 101,408,939,625.59
  5. Step 5: Solve for x
    x = 101,408,939,625.59/151,381.41
  6. Step 6: Final answer
    x = 669,890.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.