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Finding the Third Proportional to 166,006 and 249,173

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Solution

The third proportional to 166,006 and 249,173 is: 374,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,006 : 249,173 = 249,173 : x
  2. Step 2: Convert to fraction form
    166,006/249,173 = 249,173/x
  3. Step 3: Cross multiply
    166,006x = 249,173 × 249,173
  4. Step 4: Simplify right side
    166,006x = 62,087,183,929
  5. Step 5: Solve for x
    x = 62,087,183,929/166,006
  6. Step 6: Final answer
    x = 374,005.66

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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.