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Finding the Third Proportional to 98,254 and 200,630

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Solution

The third proportional to 98,254 and 200,630 is: 409,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,254 : 200,630 = 200,630 : x
  2. Step 2: Convert to fraction form
    98,254/200,630 = 200,630/x
  3. Step 3: Cross multiply
    98,254x = 200,630 × 200,630
  4. Step 4: Simplify right side
    98,254x = 40,252,396,900
  5. Step 5: Solve for x
    x = 40,252,396,900/98,254
  6. Step 6: Final answer
    x = 409,676.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.