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Finding the Third Proportional to 139,715.72 and 311,048.72

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Solution

The third proportional to 139,715.72 and 311,048.72 is: 692,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,715.72 : 311,048.72 = 311,048.72 : x
  2. Step 2: Convert to fraction form
    139,715.72/311,048.72 = 311,048.72/x
  3. Step 3: Cross multiply
    139,715.72x = 311,048.72 × 311,048.72
  4. Step 4: Simplify right side
    139,715.72x = 96,751,305,436.02
  5. Step 5: Solve for x
    x = 96,751,305,436.02/139,715.72
  6. Step 6: Final answer
    x = 692,486.90

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.