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Finding the Third Proportional to 164,369 and 222,735

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Solution

The third proportional to 164,369 and 222,735 is: 301,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,369 : 222,735 = 222,735 : x
  2. Step 2: Convert to fraction form
    164,369/222,735 = 222,735/x
  3. Step 3: Cross multiply
    164,369x = 222,735 × 222,735
  4. Step 4: Simplify right side
    164,369x = 49,610,880,225
  5. Step 5: Solve for x
    x = 49,610,880,225/164,369
  6. Step 6: Final answer
    x = 301,826.26

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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.