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Finding the Third Proportional to 164,966 and 255,030

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Solution

The third proportional to 164,966 and 255,030 is: 394,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,966 : 255,030 = 255,030 : x
  2. Step 2: Convert to fraction form
    164,966/255,030 = 255,030/x
  3. Step 3: Cross multiply
    164,966x = 255,030 × 255,030
  4. Step 4: Simplify right side
    164,966x = 65,040,300,900
  5. Step 5: Solve for x
    x = 65,040,300,900/164,966
  6. Step 6: Final answer
    x = 394,264.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.