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Finding the Third Proportional to 113,184 and 246,024

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Solution

The third proportional to 113,184 and 246,024 is: 534,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,184 : 246,024 = 246,024 : x
  2. Step 2: Convert to fraction form
    113,184/246,024 = 246,024/x
  3. Step 3: Cross multiply
    113,184x = 246,024 × 246,024
  4. Step 4: Simplify right side
    113,184x = 60,527,808,576
  5. Step 5: Solve for x
    x = 60,527,808,576/113,184
  6. Step 6: Final answer
    x = 534,773.54

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Why These Related Problems?

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