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Finding the Third Proportional to 163,649 and 359,458

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Solution

The third proportional to 163,649 and 359,458 is: 789,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,649 : 359,458 = 359,458 : x
  2. Step 2: Convert to fraction form
    163,649/359,458 = 359,458/x
  3. Step 3: Cross multiply
    163,649x = 359,458 × 359,458
  4. Step 4: Simplify right side
    163,649x = 129,210,053,764
  5. Step 5: Solve for x
    x = 129,210,053,764/163,649
  6. Step 6: Final answer
    x = 789,556.02

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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.