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Finding the Third Proportional to 159,790.50 and 245,913.75

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Solution

The third proportional to 159,790.50 and 245,913.75 is: 378,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,790.50 : 245,913.75 = 245,913.75 : x
  2. Step 2: Convert to fraction form
    159,790.50/245,913.75 = 245,913.75/x
  3. Step 3: Cross multiply
    159,790.50x = 245,913.75 × 245,913.75
  4. Step 4: Simplify right side
    159,790.50x = 60,473,572,439.06
  5. Step 5: Solve for x
    x = 60,473,572,439.06/159,790.50
  6. Step 6: Final answer
    x = 378,455.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.