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Finding the Third Proportional to 146,441 and 319,738

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Solution

The third proportional to 146,441 and 319,738 is: 698,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,441 : 319,738 = 319,738 : x
  2. Step 2: Convert to fraction form
    146,441/319,738 = 319,738/x
  3. Step 3: Cross multiply
    146,441x = 319,738 × 319,738
  4. Step 4: Simplify right side
    146,441x = 102,232,388,644
  5. Step 5: Solve for x
    x = 102,232,388,644/146,441
  6. Step 6: Final answer
    x = 698,113.16

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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.