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Finding the Third Proportional to 98,746 and 209,260

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Solution

The third proportional to 98,746 and 209,260 is: 443,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,746 : 209,260 = 209,260 : x
  2. Step 2: Convert to fraction form
    98,746/209,260 = 209,260/x
  3. Step 3: Cross multiply
    98,746x = 209,260 × 209,260
  4. Step 4: Simplify right side
    98,746x = 43,789,747,600
  5. Step 5: Solve for x
    x = 43,789,747,600/98,746
  6. Step 6: Final answer
    x = 443,458.44

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Why These Related Problems?

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