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Finding the Third Proportional to 146,294.44 and 319,379.63

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Solution

The third proportional to 146,294.44 and 319,379.63 is: 697,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,294.44 : 319,379.63 = 319,379.63 : x
  2. Step 2: Convert to fraction form
    146,294.44/319,379.63 = 319,379.63/x
  3. Step 3: Cross multiply
    146,294.44x = 319,379.63 × 319,379.63
  4. Step 4: Simplify right side
    146,294.44x = 102,003,344,865.14
  5. Step 5: Solve for x
    x = 102,003,344,865.14/146,294.44
  6. Step 6: Final answer
    x = 697,246.91

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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.