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Finding the Third Proportional to 158,673 and 246,082.50

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Solution

The third proportional to 158,673 and 246,082.50 is: 381,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,673 : 246,082.50 = 246,082.50 : x
  2. Step 2: Convert to fraction form
    158,673/246,082.50 = 246,082.50/x
  3. Step 3: Cross multiply
    158,673x = 246,082.50 × 246,082.50
  4. Step 4: Simplify right side
    158,673x = 60,556,596,806.25
  5. Step 5: Solve for x
    x = 60,556,596,806.25/158,673
  6. Step 6: Final answer
    x = 381,643.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.