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Finding the Third Proportional to 110,864 and 237,478

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Solution

The third proportional to 110,864 and 237,478 is: 508,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,864 : 237,478 = 237,478 : x
  2. Step 2: Convert to fraction form
    110,864/237,478 = 237,478/x
  3. Step 3: Cross multiply
    110,864x = 237,478 × 237,478
  4. Step 4: Simplify right side
    110,864x = 56,395,800,484
  5. Step 5: Solve for x
    x = 56,395,800,484/110,864
  6. Step 6: Final answer
    x = 508,693.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.