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Finding the Third Proportional to 220,842 and 350,259

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Solution

The third proportional to 220,842 and 350,259 is: 555,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,842 : 350,259 = 350,259 : x
  2. Step 2: Convert to fraction form
    220,842/350,259 = 350,259/x
  3. Step 3: Cross multiply
    220,842x = 350,259 × 350,259
  4. Step 4: Simplify right side
    220,842x = 122,681,367,081
  5. Step 5: Solve for x
    x = 122,681,367,081/220,842
  6. Step 6: Final answer
    x = 555,516.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.