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Finding the Third Proportional to 171,030 and 264,848

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Solution

The third proportional to 171,030 and 264,848 is: 410,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,030 : 264,848 = 264,848 : x
  2. Step 2: Convert to fraction form
    171,030/264,848 = 264,848/x
  3. Step 3: Cross multiply
    171,030x = 264,848 × 264,848
  4. Step 4: Simplify right side
    171,030x = 70,144,463,104
  5. Step 5: Solve for x
    x = 70,144,463,104/171,030
  6. Step 6: Final answer
    x = 410,129.59

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