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Finding the Third Proportional to 98,396 and 215,260

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Solution

The third proportional to 98,396 and 215,260 is: 470,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396 : 215,260 = 215,260 : x
  2. Step 2: Convert to fraction form
    98,396/215,260 = 215,260/x
  3. Step 3: Cross multiply
    98,396x = 215,260 × 215,260
  4. Step 4: Simplify right side
    98,396x = 46,336,867,600
  5. Step 5: Solve for x
    x = 46,336,867,600/98,396
  6. Step 6: Final answer
    x = 470,922.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.