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Finding the Third Proportional to 178,842 and 258,610

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Solution

The third proportional to 178,842 and 258,610 is: 373,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,842 : 258,610 = 258,610 : x
  2. Step 2: Convert to fraction form
    178,842/258,610 = 258,610/x
  3. Step 3: Cross multiply
    178,842x = 258,610 × 258,610
  4. Step 4: Simplify right side
    178,842x = 66,879,132,100
  5. Step 5: Solve for x
    x = 66,879,132,100/178,842
  6. Step 6: Final answer
    x = 373,956.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.