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Finding the Third Proportional to 166,038 and 232,986

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Solution

The third proportional to 166,038 and 232,986 is: 326,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,038 : 232,986 = 232,986 : x
  2. Step 2: Convert to fraction form
    166,038/232,986 = 232,986/x
  3. Step 3: Cross multiply
    166,038x = 232,986 × 232,986
  4. Step 4: Simplify right side
    166,038x = 54,282,476,196
  5. Step 5: Solve for x
    x = 54,282,476,196/166,038
  6. Step 6: Final answer
    x = 326,928.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.