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Finding the Third Proportional to 146,529 and 321,109.31

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Solution

The third proportional to 146,529 and 321,109.31 is: 703,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,529 : 321,109.31 = 321,109.31 : x
  2. Step 2: Convert to fraction form
    146,529/321,109.31 = 321,109.31/x
  3. Step 3: Cross multiply
    146,529x = 321,109.31 × 321,109.31
  4. Step 4: Simplify right side
    146,529x = 103,111,190,574.22
  5. Step 5: Solve for x
    x = 103,111,190,574.22/146,529
  6. Step 6: Final answer
    x = 703,691.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.