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Finding the Third Proportional to 200,456 and 301,260

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Solution

The third proportional to 200,456 and 301,260 is: 452,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456 : 301,260 = 301,260 : x
  2. Step 2: Convert to fraction form
    200,456/301,260 = 301,260/x
  3. Step 3: Cross multiply
    200,456x = 301,260 × 301,260
  4. Step 4: Simplify right side
    200,456x = 90,757,587,600
  5. Step 5: Solve for x
    x = 90,757,587,600/200,456
  6. Step 6: Final answer
    x = 452,755.66

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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.