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Finding the Third Proportional to 169,144 and 222,464

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Solution

The third proportional to 169,144 and 222,464 is: 292,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,144 : 222,464 = 222,464 : x
  2. Step 2: Convert to fraction form
    169,144/222,464 = 222,464/x
  3. Step 3: Cross multiply
    169,144x = 222,464 × 222,464
  4. Step 4: Simplify right side
    169,144x = 49,490,231,296
  5. Step 5: Solve for x
    x = 49,490,231,296/169,144
  6. Step 6: Final answer
    x = 292,592.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.