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Finding the Third Proportional to 201,904 and 303,344

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Solution

The third proportional to 201,904 and 303,344 is: 455,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904 : 303,344 = 303,344 : x
  2. Step 2: Convert to fraction form
    201,904/303,344 = 303,344/x
  3. Step 3: Cross multiply
    201,904x = 303,344 × 303,344
  4. Step 4: Simplify right side
    201,904x = 92,017,582,336
  5. Step 5: Solve for x
    x = 92,017,582,336/201,904
  6. Step 6: Final answer
    x = 455,749.18

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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.