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Finding the Third Proportional to 179,800 and 258,996

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Solution

The third proportional to 179,800 and 258,996 is: 373,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,800 : 258,996 = 258,996 : x
  2. Step 2: Convert to fraction form
    179,800/258,996 = 258,996/x
  3. Step 3: Cross multiply
    179,800x = 258,996 × 258,996
  4. Step 4: Simplify right side
    179,800x = 67,078,928,016
  5. Step 5: Solve for x
    x = 67,078,928,016/179,800
  6. Step 6: Final answer
    x = 373,075.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.