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Finding the Third Proportional to 145,932 and 238,266

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Solution

The third proportional to 145,932 and 238,266 is: 389,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,932 : 238,266 = 238,266 : x
  2. Step 2: Convert to fraction form
    145,932/238,266 = 238,266/x
  3. Step 3: Cross multiply
    145,932x = 238,266 × 238,266
  4. Step 4: Simplify right side
    145,932x = 56,770,686,756
  5. Step 5: Solve for x
    x = 56,770,686,756/145,932
  6. Step 6: Final answer
    x = 389,021.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.