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Finding the Third Proportional to 166,229 and 249,279

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Solution

The third proportional to 166,229 and 249,279 is: 373,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,229 : 249,279 = 249,279 : x
  2. Step 2: Convert to fraction form
    166,229/249,279 = 249,279/x
  3. Step 3: Cross multiply
    166,229x = 249,279 × 249,279
  4. Step 4: Simplify right side
    166,229x = 62,140,019,841
  5. Step 5: Solve for x
    x = 62,140,019,841/166,229
  6. Step 6: Final answer
    x = 373,821.78

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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.