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Finding the Third Proportional to 166,233 and 249,285

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Solution

The third proportional to 166,233 and 249,285 is: 373,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,233 : 249,285 = 249,285 : x
  2. Step 2: Convert to fraction form
    166,233/249,285 = 249,285/x
  3. Step 3: Cross multiply
    166,233x = 249,285 × 249,285
  4. Step 4: Simplify right side
    166,233x = 62,143,011,225
  5. Step 5: Solve for x
    x = 62,143,011,225/166,233
  6. Step 6: Final answer
    x = 373,830.78

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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.