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Finding the Third Proportional to 149,266 and 324,788

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Solution

The third proportional to 149,266 and 324,788 is: 706,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,266 : 324,788 = 324,788 : x
  2. Step 2: Convert to fraction form
    149,266/324,788 = 324,788/x
  3. Step 3: Cross multiply
    149,266x = 324,788 × 324,788
  4. Step 4: Simplify right side
    149,266x = 105,487,244,944
  5. Step 5: Solve for x
    x = 105,487,244,944/149,266
  6. Step 6: Final answer
    x = 706,706.45

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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.