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Finding the Third Proportional to 155,763 and 338,863.50

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Solution

The third proportional to 155,763 and 338,863.50 is: 737,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,763 : 338,863.50 = 338,863.50 : x
  2. Step 2: Convert to fraction form
    155,763/338,863.50 = 338,863.50/x
  3. Step 3: Cross multiply
    155,763x = 338,863.50 × 338,863.50
  4. Step 4: Simplify right side
    155,763x = 114,828,471,632.25
  5. Step 5: Solve for x
    x = 114,828,471,632.25/155,763
  6. Step 6: Final answer
    x = 737,199.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.