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Finding the Third Proportional to 166,183.75 and 249,212.75

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Solution

The third proportional to 166,183.75 and 249,212.75 is: 373,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,183.75 : 249,212.75 = 249,212.75 : x
  2. Step 2: Convert to fraction form
    166,183.75/249,212.75 = 249,212.75/x
  3. Step 3: Cross multiply
    166,183.75x = 249,212.75 × 249,212.75
  4. Step 4: Simplify right side
    166,183.75x = 62,106,994,762.56
  5. Step 5: Solve for x
    x = 62,106,994,762.56/166,183.75
  6. Step 6: Final answer
    x = 373,724.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.