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Finding the Third Proportional to 146,367 and 319,509

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Solution

The third proportional to 146,367 and 319,509 is: 697,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,367 : 319,509 = 319,509 : x
  2. Step 2: Convert to fraction form
    146,367/319,509 = 319,509/x
  3. Step 3: Cross multiply
    146,367x = 319,509 × 319,509
  4. Step 4: Simplify right side
    146,367x = 102,086,001,081
  5. Step 5: Solve for x
    x = 102,086,001,081/146,367
  6. Step 6: Final answer
    x = 697,465.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.