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Finding the Third Proportional to 201,854 and 298,873

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Solution

The third proportional to 201,854 and 298,873 is: 442,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,854 : 298,873 = 298,873 : x
  2. Step 2: Convert to fraction form
    201,854/298,873 = 298,873/x
  3. Step 3: Cross multiply
    201,854x = 298,873 × 298,873
  4. Step 4: Simplify right side
    201,854x = 89,325,070,129
  5. Step 5: Solve for x
    x = 89,325,070,129/201,854
  6. Step 6: Final answer
    x = 442,523.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.