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Finding the Third Proportional to 197,836 and 427,352

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Solution

The third proportional to 197,836 and 427,352 is: 923,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,836 : 427,352 = 427,352 : x
  2. Step 2: Convert to fraction form
    197,836/427,352 = 427,352/x
  3. Step 3: Cross multiply
    197,836x = 427,352 × 427,352
  4. Step 4: Simplify right side
    197,836x = 182,629,731,904
  5. Step 5: Solve for x
    x = 182,629,731,904/197,836
  6. Step 6: Final answer
    x = 923,137.00

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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.