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Finding the Third Proportional to 166,226 and 249,274

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Solution

The third proportional to 166,226 and 249,274 is: 373,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,226 : 249,274 = 249,274 : x
  2. Step 2: Convert to fraction form
    166,226/249,274 = 249,274/x
  3. Step 3: Cross multiply
    166,226x = 249,274 × 249,274
  4. Step 4: Simplify right side
    166,226x = 62,137,527,076
  5. Step 5: Solve for x
    x = 62,137,527,076/166,226
  6. Step 6: Final answer
    x = 373,813.53

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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.