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Finding the Third Proportional to 162,824 and 350,200

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Solution

The third proportional to 162,824 and 350,200 is: 753,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,824 : 350,200 = 350,200 : x
  2. Step 2: Convert to fraction form
    162,824/350,200 = 350,200/x
  3. Step 3: Cross multiply
    162,824x = 350,200 × 350,200
  4. Step 4: Simplify right side
    162,824x = 122,640,040,000
  5. Step 5: Solve for x
    x = 122,640,040,000/162,824
  6. Step 6: Final answer
    x = 753,206.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.