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Finding the Third Proportional to 190,257 and 409,947.75

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Solution

The third proportional to 190,257 and 409,947.75 is: 883,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,257 : 409,947.75 = 409,947.75 : x
  2. Step 2: Convert to fraction form
    190,257/409,947.75 = 409,947.75/x
  3. Step 3: Cross multiply
    190,257x = 409,947.75 × 409,947.75
  4. Step 4: Simplify right side
    190,257x = 168,057,157,730.06
  5. Step 5: Solve for x
    x = 168,057,157,730.06/190,257
  6. Step 6: Final answer
    x = 883,316.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.