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Finding the Third Proportional to 166,193.75 and 249,219.75

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Solution

The third proportional to 166,193.75 and 249,219.75 is: 373,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,193.75 : 249,219.75 = 249,219.75 : x
  2. Step 2: Convert to fraction form
    166,193.75/249,219.75 = 249,219.75/x
  3. Step 3: Cross multiply
    166,193.75x = 249,219.75 × 249,219.75
  4. Step 4: Simplify right side
    166,193.75x = 62,110,483,790.06
  5. Step 5: Solve for x
    x = 62,110,483,790.06/166,193.75
  6. Step 6: Final answer
    x = 373,723.34

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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.