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Finding the Third Proportional to 182,028 and 389,352

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Solution

The third proportional to 182,028 and 389,352 is: 832,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,028 : 389,352 = 389,352 : x
  2. Step 2: Convert to fraction form
    182,028/389,352 = 389,352/x
  3. Step 3: Cross multiply
    182,028x = 389,352 × 389,352
  4. Step 4: Simplify right side
    182,028x = 151,594,979,904
  5. Step 5: Solve for x
    x = 151,594,979,904/182,028
  6. Step 6: Final answer
    x = 832,811.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.