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Finding the Third Proportional to 201,300 and 433,512

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Solution

The third proportional to 201,300 and 433,512 is: 933,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,300 : 433,512 = 433,512 : x
  2. Step 2: Convert to fraction form
    201,300/433,512 = 433,512/x
  3. Step 3: Cross multiply
    201,300x = 433,512 × 433,512
  4. Step 4: Simplify right side
    201,300x = 187,932,654,144
  5. Step 5: Solve for x
    x = 187,932,654,144/201,300
  6. Step 6: Final answer
    x = 933,594.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.