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Finding the Third Proportional to 189,050 and 415,372

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Solution

The third proportional to 189,050 and 415,372 is: 912,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,050 : 415,372 = 415,372 : x
  2. Step 2: Convert to fraction form
    189,050/415,372 = 415,372/x
  3. Step 3: Cross multiply
    189,050x = 415,372 × 415,372
  4. Step 4: Simplify right side
    189,050x = 172,533,898,384
  5. Step 5: Solve for x
    x = 172,533,898,384/189,050
  6. Step 6: Final answer
    x = 912,636.33

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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.