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Finding the Third Proportional to 146,493 and 313,722

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Solution

The third proportional to 146,493 and 313,722 is: 671,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,493 : 313,722 = 313,722 : x
  2. Step 2: Convert to fraction form
    146,493/313,722 = 313,722/x
  3. Step 3: Cross multiply
    146,493x = 313,722 × 313,722
  4. Step 4: Simplify right side
    146,493x = 98,421,493,284
  5. Step 5: Solve for x
    x = 98,421,493,284/146,493
  6. Step 6: Final answer
    x = 671,851.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.