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Finding the Third Proportional to 163,659 and 222,159

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Solution

The third proportional to 163,659 and 222,159 is: 301,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,659 : 222,159 = 222,159 : x
  2. Step 2: Convert to fraction form
    163,659/222,159 = 222,159/x
  3. Step 3: Cross multiply
    163,659x = 222,159 × 222,159
  4. Step 4: Simplify right side
    163,659x = 49,354,621,281
  5. Step 5: Solve for x
    x = 49,354,621,281/163,659
  6. Step 6: Final answer
    x = 301,569.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.