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Finding the Third Proportional to 201,216 and 301,847

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Solution

The third proportional to 201,216 and 301,847 is: 452,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,216 : 301,847 = 301,847 : x
  2. Step 2: Convert to fraction form
    201,216/301,847 = 301,847/x
  3. Step 3: Cross multiply
    201,216x = 301,847 × 301,847
  4. Step 4: Simplify right side
    201,216x = 91,111,611,409
  5. Step 5: Solve for x
    x = 91,111,611,409/201,216
  6. Step 6: Final answer
    x = 452,805.00

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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.