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Finding the Third Proportional to 189,764 and 408,852

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Solution

The third proportional to 189,764 and 408,852 is: 880,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,764 : 408,852 = 408,852 : x
  2. Step 2: Convert to fraction form
    189,764/408,852 = 408,852/x
  3. Step 3: Cross multiply
    189,764x = 408,852 × 408,852
  4. Step 4: Simplify right side
    189,764x = 167,159,957,904
  5. Step 5: Solve for x
    x = 167,159,957,904/189,764
  6. Step 6: Final answer
    x = 880,883.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.