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Finding the Third Proportional to 146,772 and 321,672

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Solution

The third proportional to 146,772 and 321,672 is: 704,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,772 : 321,672 = 321,672 : x
  2. Step 2: Convert to fraction form
    146,772/321,672 = 321,672/x
  3. Step 3: Cross multiply
    146,772x = 321,672 × 321,672
  4. Step 4: Simplify right side
    146,772x = 103,472,875,584
  5. Step 5: Solve for x
    x = 103,472,875,584/146,772
  6. Step 6: Final answer
    x = 704,990.57

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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.