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Finding the Third Proportional to 146,166 and 319,388

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Solution

The third proportional to 146,166 and 319,388 is: 697,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,166 : 319,388 = 319,388 : x
  2. Step 2: Convert to fraction form
    146,166/319,388 = 319,388/x
  3. Step 3: Cross multiply
    146,166x = 319,388 × 319,388
  4. Step 4: Simplify right side
    146,166x = 102,008,694,544
  5. Step 5: Solve for x
    x = 102,008,694,544/146,166
  6. Step 6: Final answer
    x = 697,896.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.