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Finding the Third Proportional to 193,075 and 295,356

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Solution

The third proportional to 193,075 and 295,356 is: 451,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,075 : 295,356 = 295,356 : x
  2. Step 2: Convert to fraction form
    193,075/295,356 = 295,356/x
  3. Step 3: Cross multiply
    193,075x = 295,356 × 295,356
  4. Step 4: Simplify right side
    193,075x = 87,235,166,736
  5. Step 5: Solve for x
    x = 87,235,166,736/193,075
  6. Step 6: Final answer
    x = 451,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.