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Finding the Third Proportional to 166,018 and 249,197

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Solution

The third proportional to 166,018 and 249,197 is: 374,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,018 : 249,197 = 249,197 : x
  2. Step 2: Convert to fraction form
    166,018/249,197 = 249,197/x
  3. Step 3: Cross multiply
    166,018x = 249,197 × 249,197
  4. Step 4: Simplify right side
    166,018x = 62,099,144,809
  5. Step 5: Solve for x
    x = 62,099,144,809/166,018
  6. Step 6: Final answer
    x = 374,050.67

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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.