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Finding the Third Proportional to 143,808.75 and 311,416.31

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Solution

The third proportional to 143,808.75 and 311,416.31 is: 674,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,808.75 : 311,416.31 = 311,416.31 : x
  2. Step 2: Convert to fraction form
    143,808.75/311,416.31 = 311,416.31/x
  3. Step 3: Cross multiply
    143,808.75x = 311,416.31 × 311,416.31
  4. Step 4: Simplify right side
    143,808.75x = 96,980,119,691.10
  5. Step 5: Solve for x
    x = 96,980,119,691.10/143,808.75
  6. Step 6: Final answer
    x = 674,368.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.