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Finding the Third Proportional to 159,873.75 and 345,363.75

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Solution

The third proportional to 159,873.75 and 345,363.75 is: 746,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,873.75 : 345,363.75 = 345,363.75 : x
  2. Step 2: Convert to fraction form
    159,873.75/345,363.75 = 345,363.75/x
  3. Step 3: Cross multiply
    159,873.75x = 345,363.75 × 345,363.75
  4. Step 4: Simplify right side
    159,873.75x = 119,276,119,814.06
  5. Step 5: Solve for x
    x = 119,276,119,814.06/159,873.75
  6. Step 6: Final answer
    x = 746,064.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.