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Finding the Third Proportional to 200,262 and 300,433

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Solution

The third proportional to 200,262 and 300,433 is: 450,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,262 : 300,433 = 300,433 : x
  2. Step 2: Convert to fraction form
    200,262/300,433 = 300,433/x
  3. Step 3: Cross multiply
    200,262x = 300,433 × 300,433
  4. Step 4: Simplify right side
    200,262x = 90,259,987,489
  5. Step 5: Solve for x
    x = 90,259,987,489/200,262
  6. Step 6: Final answer
    x = 450,709.51

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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.