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Finding the Third Proportional to 73,444.50 and 160,578

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Solution

The third proportional to 73,444.50 and 160,578 is: 351,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,444.50 : 160,578 = 160,578 : x
  2. Step 2: Convert to fraction form
    73,444.50/160,578 = 160,578/x
  3. Step 3: Cross multiply
    73,444.50x = 160,578 × 160,578
  4. Step 4: Simplify right side
    73,444.50x = 25,785,294,084
  5. Step 5: Solve for x
    x = 25,785,294,084/73,444.50
  6. Step 6: Final answer
    x = 351,085.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.