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Finding the Third Proportional to 211,146.75 and 311,121

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Solution

The third proportional to 211,146.75 and 311,121 is: 458,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,146.75 : 311,121 = 311,121 : x
  2. Step 2: Convert to fraction form
    211,146.75/311,121 = 311,121/x
  3. Step 3: Cross multiply
    211,146.75x = 311,121 × 311,121
  4. Step 4: Simplify right side
    211,146.75x = 96,796,276,641
  5. Step 5: Solve for x
    x = 96,796,276,641/211,146.75
  6. Step 6: Final answer
    x = 458,431.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.