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Finding the Third Proportional to 98,378 and 215,224

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Solution

The third proportional to 98,378 and 215,224 is: 470,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,378 : 215,224 = 215,224 : x
  2. Step 2: Convert to fraction form
    98,378/215,224 = 215,224/x
  3. Step 3: Cross multiply
    98,378x = 215,224 × 215,224
  4. Step 4: Simplify right side
    98,378x = 46,321,370,176
  5. Step 5: Solve for x
    x = 46,321,370,176/98,378
  6. Step 6: Final answer
    x = 470,850.90

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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.