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Finding the Third Proportional to 166,224 and 249,270

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Solution

The third proportional to 166,224 and 249,270 is: 373,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,224 : 249,270 = 249,270 : x
  2. Step 2: Convert to fraction form
    166,224/249,270 = 249,270/x
  3. Step 3: Cross multiply
    166,224x = 249,270 × 249,270
  4. Step 4: Simplify right side
    166,224x = 62,135,532,900
  5. Step 5: Solve for x
    x = 62,135,532,900/166,224
  6. Step 6: Final answer
    x = 373,806.03

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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.