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Finding the Third Proportional to 146,144 and 319,344

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Solution

The third proportional to 146,144 and 319,344 is: 697,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,144 : 319,344 = 319,344 : x
  2. Step 2: Convert to fraction form
    146,144/319,344 = 319,344/x
  3. Step 3: Cross multiply
    146,144x = 319,344 × 319,344
  4. Step 4: Simplify right side
    146,144x = 101,980,590,336
  5. Step 5: Solve for x
    x = 101,980,590,336/146,144
  6. Step 6: Final answer
    x = 697,808.94

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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.