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Finding the Third Proportional to 120,730.50 and 263,898

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Solution

The third proportional to 120,730.50 and 263,898 is: 576,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,730.50 : 263,898 = 263,898 : x
  2. Step 2: Convert to fraction form
    120,730.50/263,898 = 263,898/x
  3. Step 3: Cross multiply
    120,730.50x = 263,898 × 263,898
  4. Step 4: Simplify right side
    120,730.50x = 69,642,154,404
  5. Step 5: Solve for x
    x = 69,642,154,404/120,730.50
  6. Step 6: Final answer
    x = 576,839.77

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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.