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Finding the Third Proportional to 159,100.50 and 343,095

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Solution

The third proportional to 159,100.50 and 343,095 is: 739,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,100.50 : 343,095 = 343,095 : x
  2. Step 2: Convert to fraction form
    159,100.50/343,095 = 343,095/x
  3. Step 3: Cross multiply
    159,100.50x = 343,095 × 343,095
  4. Step 4: Simplify right side
    159,100.50x = 117,714,179,025
  5. Step 5: Solve for x
    x = 117,714,179,025/159,100.50
  6. Step 6: Final answer
    x = 739,873.09

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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.