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Finding the Third Proportional to 146,703 and 320,388

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Solution

The third proportional to 146,703 and 320,388 is: 699,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,703 : 320,388 = 320,388 : x
  2. Step 2: Convert to fraction form
    146,703/320,388 = 320,388/x
  3. Step 3: Cross multiply
    146,703x = 320,388 × 320,388
  4. Step 4: Simplify right side
    146,703x = 102,648,470,544
  5. Step 5: Solve for x
    x = 102,648,470,544/146,703
  6. Step 6: Final answer
    x = 699,702.60

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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.