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Finding the Third Proportional to 189,048 and 415,368

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Solution

The third proportional to 189,048 and 415,368 is: 912,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,048 : 415,368 = 415,368 : x
  2. Step 2: Convert to fraction form
    189,048/415,368 = 415,368/x
  3. Step 3: Cross multiply
    189,048x = 415,368 × 415,368
  4. Step 4: Simplify right side
    189,048x = 172,530,575,424
  5. Step 5: Solve for x
    x = 172,530,575,424/189,048
  6. Step 6: Final answer
    x = 912,628.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.