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Finding the Third Proportional to 205,146 and 426,600

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Solution

The third proportional to 205,146 and 426,600 is: 887,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146 : 426,600 = 426,600 : x
  2. Step 2: Convert to fraction form
    205,146/426,600 = 426,600/x
  3. Step 3: Cross multiply
    205,146x = 426,600 × 426,600
  4. Step 4: Simplify right side
    205,146x = 181,987,560,000
  5. Step 5: Solve for x
    x = 181,987,560,000/205,146
  6. Step 6: Final answer
    x = 887,112.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.