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Finding the Third Proportional to 126,270 and 210,424

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Solution

The third proportional to 126,270 and 210,424 is: 350,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,270 : 210,424 = 210,424 : x
  2. Step 2: Convert to fraction form
    126,270/210,424 = 210,424/x
  3. Step 3: Cross multiply
    126,270x = 210,424 × 210,424
  4. Step 4: Simplify right side
    126,270x = 44,278,259,776
  5. Step 5: Solve for x
    x = 44,278,259,776/126,270
  6. Step 6: Final answer
    x = 350,663.34

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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.