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Finding the Third Proportional to 159,072 and 233,260.50

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Solution

The third proportional to 159,072 and 233,260.50 is: 342,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,072 : 233,260.50 = 233,260.50 : x
  2. Step 2: Convert to fraction form
    159,072/233,260.50 = 233,260.50/x
  3. Step 3: Cross multiply
    159,072x = 233,260.50 × 233,260.50
  4. Step 4: Simplify right side
    159,072x = 54,410,460,860.25
  5. Step 5: Solve for x
    x = 54,410,460,860.25/159,072
  6. Step 6: Final answer
    x = 342,049.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.