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Finding the Third Proportional to 86,790 and 190,224

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Solution

The third proportional to 86,790 and 190,224 is: 416,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,790 : 190,224 = 190,224 : x
  2. Step 2: Convert to fraction form
    86,790/190,224 = 190,224/x
  3. Step 3: Cross multiply
    86,790x = 190,224 × 190,224
  4. Step 4: Simplify right side
    86,790x = 36,185,170,176
  5. Step 5: Solve for x
    x = 36,185,170,176/86,790
  6. Step 6: Final answer
    x = 416,927.87

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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.