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Finding the Third Proportional to 198,336 and 302,152

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Solution

The third proportional to 198,336 and 302,152 is: 460,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,336 : 302,152 = 302,152 : x
  2. Step 2: Convert to fraction form
    198,336/302,152 = 302,152/x
  3. Step 3: Cross multiply
    198,336x = 302,152 × 302,152
  4. Step 4: Simplify right side
    198,336x = 91,295,831,104
  5. Step 5: Solve for x
    x = 91,295,831,104/198,336
  6. Step 6: Final answer
    x = 460,308.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.