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Finding the Third Proportional to 166,002 and 249,166

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Solution

The third proportional to 166,002 and 249,166 is: 373,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,002 : 249,166 = 249,166 : x
  2. Step 2: Convert to fraction form
    166,002/249,166 = 249,166/x
  3. Step 3: Cross multiply
    166,002x = 249,166 × 249,166
  4. Step 4: Simplify right side
    166,002x = 62,083,695,556
  5. Step 5: Solve for x
    x = 62,083,695,556/166,002
  6. Step 6: Final answer
    x = 373,993.66

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Why These Related Problems?

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