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Finding the Third Proportional to 248,343.75 and 384,452.75

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Solution

The third proportional to 248,343.75 and 384,452.75 is: 595,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,343.75 : 384,452.75 = 384,452.75 : x
  2. Step 2: Convert to fraction form
    248,343.75/384,452.75 = 384,452.75/x
  3. Step 3: Cross multiply
    248,343.75x = 384,452.75 × 384,452.75
  4. Step 4: Simplify right side
    248,343.75x = 147,803,916,982.56
  5. Step 5: Solve for x
    x = 147,803,916,982.56/248,343.75
  6. Step 6: Final answer
    x = 595,158.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.