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Finding the Third Proportional to 193,196 and 295,530

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Solution

The third proportional to 193,196 and 295,530 is: 452,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,196 : 295,530 = 295,530 : x
  2. Step 2: Convert to fraction form
    193,196/295,530 = 295,530/x
  3. Step 3: Cross multiply
    193,196x = 295,530 × 295,530
  4. Step 4: Simplify right side
    193,196x = 87,337,980,900
  5. Step 5: Solve for x
    x = 87,337,980,900/193,196
  6. Step 6: Final answer
    x = 452,069.30

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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.