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Finding the Third Proportional to 199,600 and 430,852

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Solution

The third proportional to 199,600 and 430,852 is: 930,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,600 : 430,852 = 430,852 : x
  2. Step 2: Convert to fraction form
    199,600/430,852 = 430,852/x
  3. Step 3: Cross multiply
    199,600x = 430,852 × 430,852
  4. Step 4: Simplify right side
    199,600x = 185,633,445,904
  5. Step 5: Solve for x
    x = 185,633,445,904/199,600
  6. Step 6: Final answer
    x = 930,027.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.