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Finding the Third Proportional to 166,238 and 249,290

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Solution

The third proportional to 166,238 and 249,290 is: 373,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,238 : 249,290 = 249,290 : x
  2. Step 2: Convert to fraction form
    166,238/249,290 = 249,290/x
  3. Step 3: Cross multiply
    166,238x = 249,290 × 249,290
  4. Step 4: Simplify right side
    166,238x = 62,145,504,100
  5. Step 5: Solve for x
    x = 62,145,504,100/166,238
  6. Step 6: Final answer
    x = 373,834.53

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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.