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Finding the Third Proportional to 107,800 and 229,208

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Solution

The third proportional to 107,800 and 229,208 is: 487,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,800 : 229,208 = 229,208 : x
  2. Step 2: Convert to fraction form
    107,800/229,208 = 229,208/x
  3. Step 3: Cross multiply
    107,800x = 229,208 × 229,208
  4. Step 4: Simplify right side
    107,800x = 52,536,307,264
  5. Step 5: Solve for x
    x = 52,536,307,264/107,800
  6. Step 6: Final answer
    x = 487,349.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.