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Finding the Third Proportional to 163,914 and 360,344

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Solution

The third proportional to 163,914 and 360,344 is: 792,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,914 : 360,344 = 360,344 : x
  2. Step 2: Convert to fraction form
    163,914/360,344 = 360,344/x
  3. Step 3: Cross multiply
    163,914x = 360,344 × 360,344
  4. Step 4: Simplify right side
    163,914x = 129,847,798,336
  5. Step 5: Solve for x
    x = 129,847,798,336/163,914
  6. Step 6: Final answer
    x = 792,170.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.