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Finding the Third Proportional to 186,300 and 295,204

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Solution

The third proportional to 186,300 and 295,204 is: 467,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,300 : 295,204 = 295,204 : x
  2. Step 2: Convert to fraction form
    186,300/295,204 = 295,204/x
  3. Step 3: Cross multiply
    186,300x = 295,204 × 295,204
  4. Step 4: Simplify right side
    186,300x = 87,145,401,616
  5. Step 5: Solve for x
    x = 87,145,401,616/186,300
  6. Step 6: Final answer
    x = 467,769.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.