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Finding the Third Proportional to 135,024 and 295,504

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Solution

The third proportional to 135,024 and 295,504 is: 646,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,024 : 295,504 = 295,504 : x
  2. Step 2: Convert to fraction form
    135,024/295,504 = 295,504/x
  3. Step 3: Cross multiply
    135,024x = 295,504 × 295,504
  4. Step 4: Simplify right side
    135,024x = 87,322,614,016
  5. Step 5: Solve for x
    x = 87,322,614,016/135,024
  6. Step 6: Final answer
    x = 646,719.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.