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Finding the Third Proportional to 170,349.75 and 264,519

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Solution

The third proportional to 170,349.75 and 264,519 is: 410,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,349.75 : 264,519 = 264,519 : x
  2. Step 2: Convert to fraction form
    170,349.75/264,519 = 264,519/x
  3. Step 3: Cross multiply
    170,349.75x = 264,519 × 264,519
  4. Step 4: Simplify right side
    170,349.75x = 69,970,301,361
  5. Step 5: Solve for x
    x = 69,970,301,361/170,349.75
  6. Step 6: Final answer
    x = 410,744.96

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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.