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Finding the Third Proportional to 166,155 and 249,399

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Solution

The third proportional to 166,155 and 249,399 is: 374,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,155 : 249,399 = 249,399 : x
  2. Step 2: Convert to fraction form
    166,155/249,399 = 249,399/x
  3. Step 3: Cross multiply
    166,155x = 249,399 × 249,399
  4. Step 4: Simplify right side
    166,155x = 62,199,861,201
  5. Step 5: Solve for x
    x = 62,199,861,201/166,155
  6. Step 6: Final answer
    x = 374,348.42

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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.