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Finding the Third Proportional to 166,000 and 249,163

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Solution

The third proportional to 166,000 and 249,163 is: 373,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,000 : 249,163 = 249,163 : x
  2. Step 2: Convert to fraction form
    166,000/249,163 = 249,163/x
  3. Step 3: Cross multiply
    166,000x = 249,163 × 249,163
  4. Step 4: Simplify right side
    166,000x = 62,082,200,569
  5. Step 5: Solve for x
    x = 62,082,200,569/166,000
  6. Step 6: Final answer
    x = 373,989.16

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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.