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Finding the Third Proportional to 198,835 and 301,148

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Solution

The third proportional to 198,835 and 301,148 is: 456,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,835 : 301,148 = 301,148 : x
  2. Step 2: Convert to fraction form
    198,835/301,148 = 301,148/x
  3. Step 3: Cross multiply
    198,835x = 301,148 × 301,148
  4. Step 4: Simplify right side
    198,835x = 90,690,117,904
  5. Step 5: Solve for x
    x = 90,690,117,904/198,835
  6. Step 6: Final answer
    x = 456,107.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.