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Finding the Third Proportional to 149,269.50 and 312,369.75

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Solution

The third proportional to 149,269.50 and 312,369.75 is: 653,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,269.50 : 312,369.75 = 312,369.75 : x
  2. Step 2: Convert to fraction form
    149,269.50/312,369.75 = 312,369.75/x
  3. Step 3: Cross multiply
    149,269.50x = 312,369.75 × 312,369.75
  4. Step 4: Simplify right side
    149,269.50x = 97,574,860,715.06
  5. Step 5: Solve for x
    x = 97,574,860,715.06/149,269.50
  6. Step 6: Final answer
    x = 653,682.51

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.