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Finding the Third Proportional to 174,351 and 378,036

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Solution

The third proportional to 174,351 and 378,036 is: 819,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,351 : 378,036 = 378,036 : x
  2. Step 2: Convert to fraction form
    174,351/378,036 = 378,036/x
  3. Step 3: Cross multiply
    174,351x = 378,036 × 378,036
  4. Step 4: Simplify right side
    174,351x = 142,911,217,296
  5. Step 5: Solve for x
    x = 142,911,217,296/174,351
  6. Step 6: Final answer
    x = 819,675.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.