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Finding the Third Proportional to 111,289.50 and 240,399

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Solution

The third proportional to 111,289.50 and 240,399 is: 519,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,289.50 : 240,399 = 240,399 : x
  2. Step 2: Convert to fraction form
    111,289.50/240,399 = 240,399/x
  3. Step 3: Cross multiply
    111,289.50x = 240,399 × 240,399
  4. Step 4: Simplify right side
    111,289.50x = 57,791,679,201
  5. Step 5: Solve for x
    x = 57,791,679,201/111,289.50
  6. Step 6: Final answer
    x = 519,291.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.