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Finding the Third Proportional to 159,001.73 and 322,616.67

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Solution

The third proportional to 159,001.73 and 322,616.67 is: 654,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,001.73 : 322,616.67 = 322,616.67 : x
  2. Step 2: Convert to fraction form
    159,001.73/322,616.67 = 322,616.67/x
  3. Step 3: Cross multiply
    159,001.73x = 322,616.67 × 322,616.67
  4. Step 4: Simplify right side
    159,001.73x = 104,081,516,971.70
  5. Step 5: Solve for x
    x = 104,081,516,971.70/159,001.73
  6. Step 6: Final answer
    x = 654,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.