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Finding the Third Proportional to 225,708 and 350,614

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Solution

The third proportional to 225,708 and 350,614 is: 544,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,708 : 350,614 = 350,614 : x
  2. Step 2: Convert to fraction form
    225,708/350,614 = 350,614/x
  3. Step 3: Cross multiply
    225,708x = 350,614 × 350,614
  4. Step 4: Simplify right side
    225,708x = 122,930,176,996
  5. Step 5: Solve for x
    x = 122,930,176,996/225,708
  6. Step 6: Final answer
    x = 544,642.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.