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Finding the Third Proportional to 166,993 and 358,274

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Solution

The third proportional to 166,993 and 358,274 is: 768,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,993 : 358,274 = 358,274 : x
  2. Step 2: Convert to fraction form
    166,993/358,274 = 358,274/x
  3. Step 3: Cross multiply
    166,993x = 358,274 × 358,274
  4. Step 4: Simplify right side
    166,993x = 128,360,259,076
  5. Step 5: Solve for x
    x = 128,360,259,076/166,993
  6. Step 6: Final answer
    x = 768,656.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.