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Finding the Third Proportional to 179,810 and 259,010

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Solution

The third proportional to 179,810 and 259,010 is: 373,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,810 : 259,010 = 259,010 : x
  2. Step 2: Convert to fraction form
    179,810/259,010 = 259,010/x
  3. Step 3: Cross multiply
    179,810x = 259,010 × 259,010
  4. Step 4: Simplify right side
    179,810x = 67,086,180,100
  5. Step 5: Solve for x
    x = 67,086,180,100/179,810
  6. Step 6: Final answer
    x = 373,094.82

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