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Finding the Third Proportional to 98,741 and 209,250

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Solution

The third proportional to 98,741 and 209,250 is: 443,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741 : 209,250 = 209,250 : x
  2. Step 2: Convert to fraction form
    98,741/209,250 = 209,250/x
  3. Step 3: Cross multiply
    98,741x = 209,250 × 209,250
  4. Step 4: Simplify right side
    98,741x = 43,785,562,500
  5. Step 5: Solve for x
    x = 43,785,562,500/98,741
  6. Step 6: Final answer
    x = 443,438.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.