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Finding the Third Proportional to 163,884 and 360,290

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Solution

The third proportional to 163,884 and 360,290 is: 792,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,884 : 360,290 = 360,290 : x
  2. Step 2: Convert to fraction form
    163,884/360,290 = 360,290/x
  3. Step 3: Cross multiply
    163,884x = 360,290 × 360,290
  4. Step 4: Simplify right side
    163,884x = 129,808,884,100
  5. Step 5: Solve for x
    x = 129,808,884,100/163,884
  6. Step 6: Final answer
    x = 792,077.84

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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.