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Finding the Third Proportional to 119,826 and 258,084

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Solution

The third proportional to 119,826 and 258,084 is: 555,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,826 : 258,084 = 258,084 : x
  2. Step 2: Convert to fraction form
    119,826/258,084 = 258,084/x
  3. Step 3: Cross multiply
    119,826x = 258,084 × 258,084
  4. Step 4: Simplify right side
    119,826x = 66,607,351,056
  5. Step 5: Solve for x
    x = 66,607,351,056/119,826
  6. Step 6: Final answer
    x = 555,867.27

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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.