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Finding the Third Proportional to 112,182 and 237,024

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Solution

The third proportional to 112,182 and 237,024 is: 500,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,182 : 237,024 = 237,024 : x
  2. Step 2: Convert to fraction form
    112,182/237,024 = 237,024/x
  3. Step 3: Cross multiply
    112,182x = 237,024 × 237,024
  4. Step 4: Simplify right side
    112,182x = 56,180,376,576
  5. Step 5: Solve for x
    x = 56,180,376,576/112,182
  6. Step 6: Final answer
    x = 500,796.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.