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Finding the Third Proportional to 200,014 and 281,346

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Solution

The third proportional to 200,014 and 281,346 is: 395,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,014 : 281,346 = 281,346 : x
  2. Step 2: Convert to fraction form
    200,014/281,346 = 281,346/x
  3. Step 3: Cross multiply
    200,014x = 281,346 × 281,346
  4. Step 4: Simplify right side
    200,014x = 79,155,571,716
  5. Step 5: Solve for x
    x = 79,155,571,716/200,014
  6. Step 6: Final answer
    x = 395,750.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.