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Finding the Third Proportional to 98,584 and 218,224

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Solution

The third proportional to 98,584 and 218,224 is: 483,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,584 : 218,224 = 218,224 : x
  2. Step 2: Convert to fraction form
    98,584/218,224 = 218,224/x
  3. Step 3: Cross multiply
    98,584x = 218,224 × 218,224
  4. Step 4: Simplify right side
    98,584x = 47,621,714,176
  5. Step 5: Solve for x
    x = 47,621,714,176/98,584
  6. Step 6: Final answer
    x = 483,057.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.