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Finding the Third Proportional to 111,359.50 and 239,951

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Solution

The third proportional to 111,359.50 and 239,951 is: 517,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,359.50 : 239,951 = 239,951 : x
  2. Step 2: Convert to fraction form
    111,359.50/239,951 = 239,951/x
  3. Step 3: Cross multiply
    111,359.50x = 239,951 × 239,951
  4. Step 4: Simplify right side
    111,359.50x = 57,576,482,401
  5. Step 5: Solve for x
    x = 57,576,482,401/111,359.50
  6. Step 6: Final answer
    x = 517,032.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.