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Finding the Third Proportional to 126,285 and 210,447

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Solution

The third proportional to 126,285 and 210,447 is: 350,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,285 : 210,447 = 210,447 : x
  2. Step 2: Convert to fraction form
    126,285/210,447 = 210,447/x
  3. Step 3: Cross multiply
    126,285x = 210,447 × 210,447
  4. Step 4: Simplify right side
    126,285x = 44,287,939,809
  5. Step 5: Solve for x
    x = 44,287,939,809/126,285
  6. Step 6: Final answer
    x = 350,698.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.