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Finding the Third Proportional to 175,077.75 and 384,195.75

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Solution

The third proportional to 175,077.75 and 384,195.75 is: 843,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,077.75 : 384,195.75 = 384,195.75 : x
  2. Step 2: Convert to fraction form
    175,077.75/384,195.75 = 384,195.75/x
  3. Step 3: Cross multiply
    175,077.75x = 384,195.75 × 384,195.75
  4. Step 4: Simplify right side
    175,077.75x = 147,606,374,318.06
  5. Step 5: Solve for x
    x = 147,606,374,318.06/175,077.75
  6. Step 6: Final answer
    x = 843,090.42

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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.