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Finding the Third Proportional to 200,336 and 305,556

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Solution

The third proportional to 200,336 and 305,556 is: 466,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,336 : 305,556 = 305,556 : x
  2. Step 2: Convert to fraction form
    200,336/305,556 = 305,556/x
  3. Step 3: Cross multiply
    200,336x = 305,556 × 305,556
  4. Step 4: Simplify right side
    200,336x = 93,364,469,136
  5. Step 5: Solve for x
    x = 93,364,469,136/200,336
  6. Step 6: Final answer
    x = 466,039.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.