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Finding the Third Proportional to 175,922 and 384,103

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Solution

The third proportional to 175,922 and 384,103 is: 838,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,922 : 384,103 = 384,103 : x
  2. Step 2: Convert to fraction form
    175,922/384,103 = 384,103/x
  3. Step 3: Cross multiply
    175,922x = 384,103 × 384,103
  4. Step 4: Simplify right side
    175,922x = 147,535,114,609
  5. Step 5: Solve for x
    x = 147,535,114,609/175,922
  6. Step 6: Final answer
    x = 838,639.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.