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Finding the Third Proportional to 169,551.75 and 264,573.75

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Solution

The third proportional to 169,551.75 and 264,573.75 is: 412,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,551.75 : 264,573.75 = 264,573.75 : x
  2. Step 2: Convert to fraction form
    169,551.75/264,573.75 = 264,573.75/x
  3. Step 3: Cross multiply
    169,551.75x = 264,573.75 × 264,573.75
  4. Step 4: Simplify right side
    169,551.75x = 69,999,269,189.06
  5. Step 5: Solve for x
    x = 69,999,269,189.06/169,551.75
  6. Step 6: Final answer
    x = 412,848.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.