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Finding the Third Proportional to 163,912 and 360,340

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Solution

The third proportional to 163,912 and 360,340 is: 792,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,912 : 360,340 = 360,340 : x
  2. Step 2: Convert to fraction form
    163,912/360,340 = 360,340/x
  3. Step 3: Cross multiply
    163,912x = 360,340 × 360,340
  4. Step 4: Simplify right side
    163,912x = 129,844,915,600
  5. Step 5: Solve for x
    x = 129,844,915,600/163,912
  6. Step 6: Final answer
    x = 792,162.35

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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.