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Finding the Third Proportional to 155,975 and 223,050

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Solution

The third proportional to 155,975 and 223,050 is: 318,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,975 : 223,050 = 223,050 : x
  2. Step 2: Convert to fraction form
    155,975/223,050 = 223,050/x
  3. Step 3: Cross multiply
    155,975x = 223,050 × 223,050
  4. Step 4: Simplify right side
    155,975x = 49,751,302,500
  5. Step 5: Solve for x
    x = 49,751,302,500/155,975
  6. Step 6: Final answer
    x = 318,969.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.