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Finding the Third Proportional to 175,203 and 384,317

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Solution

The third proportional to 175,203 and 384,317 is: 843,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,203 : 384,317 = 384,317 : x
  2. Step 2: Convert to fraction form
    175,203/384,317 = 384,317/x
  3. Step 3: Cross multiply
    175,203x = 384,317 × 384,317
  4. Step 4: Simplify right side
    175,203x = 147,699,556,489
  5. Step 5: Solve for x
    x = 147,699,556,489/175,203
  6. Step 6: Final answer
    x = 843,019.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.