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Finding the Third Proportional to 110,184 and 237,858

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Solution

The third proportional to 110,184 and 237,858 is: 513,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,184 : 237,858 = 237,858 : x
  2. Step 2: Convert to fraction form
    110,184/237,858 = 237,858/x
  3. Step 3: Cross multiply
    110,184x = 237,858 × 237,858
  4. Step 4: Simplify right side
    110,184x = 56,576,428,164
  5. Step 5: Solve for x
    x = 56,576,428,164/110,184
  6. Step 6: Final answer
    x = 513,472.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.