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Finding the Third Proportional to 163,208 and 295,662

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Solution

The third proportional to 163,208 and 295,662 is: 535,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,208 : 295,662 = 295,662 : x
  2. Step 2: Convert to fraction form
    163,208/295,662 = 295,662/x
  3. Step 3: Cross multiply
    163,208x = 295,662 × 295,662
  4. Step 4: Simplify right side
    163,208x = 87,416,018,244
  5. Step 5: Solve for x
    x = 87,416,018,244/163,208
  6. Step 6: Final answer
    x = 535,611.11

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.