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Finding the Third Proportional to 160,119 and 231,916.50

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Solution

The third proportional to 160,119 and 231,916.50 is: 335,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,119 : 231,916.50 = 231,916.50 : x
  2. Step 2: Convert to fraction form
    160,119/231,916.50 = 231,916.50/x
  3. Step 3: Cross multiply
    160,119x = 231,916.50 × 231,916.50
  4. Step 4: Simplify right side
    160,119x = 53,785,262,972.25
  5. Step 5: Solve for x
    x = 53,785,262,972.25/160,119
  6. Step 6: Final answer
    x = 335,908.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.