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Finding the Third Proportional to 146,001 and 310,821

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Solution

The third proportional to 146,001 and 310,821 is: 661,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,001 : 310,821 = 310,821 : x
  2. Step 2: Convert to fraction form
    146,001/310,821 = 310,821/x
  3. Step 3: Cross multiply
    146,001x = 310,821 × 310,821
  4. Step 4: Simplify right side
    146,001x = 96,609,694,041
  5. Step 5: Solve for x
    x = 96,609,694,041/146,001
  6. Step 6: Final answer
    x = 661,705.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.