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Finding the Third Proportional to 171,024 and 263,097

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Solution

The third proportional to 171,024 and 263,097 is: 404,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,024 : 263,097 = 263,097 : x
  2. Step 2: Convert to fraction form
    171,024/263,097 = 263,097/x
  3. Step 3: Cross multiply
    171,024x = 263,097 × 263,097
  4. Step 4: Simplify right side
    171,024x = 69,220,031,409
  5. Step 5: Solve for x
    x = 69,220,031,409/171,024
  6. Step 6: Final answer
    x = 404,738.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.