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Finding the Third Proportional to 201,214 and 301,844

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Solution

The third proportional to 201,214 and 301,844 is: 452,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214 : 301,844 = 301,844 : x
  2. Step 2: Convert to fraction form
    201,214/301,844 = 301,844/x
  3. Step 3: Cross multiply
    201,214x = 301,844 × 301,844
  4. Step 4: Simplify right side
    201,214x = 91,109,800,336
  5. Step 5: Solve for x
    x = 91,109,800,336/201,214
  6. Step 6: Final answer
    x = 452,800.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.