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Finding the Third Proportional to 190,336 and 409,904

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Solution

The third proportional to 190,336 and 409,904 is: 882,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,336 : 409,904 = 409,904 : x
  2. Step 2: Convert to fraction form
    190,336/409,904 = 409,904/x
  3. Step 3: Cross multiply
    190,336x = 409,904 × 409,904
  4. Step 4: Simplify right side
    190,336x = 168,021,289,216
  5. Step 5: Solve for x
    x = 168,021,289,216/190,336
  6. Step 6: Final answer
    x = 882,761.48

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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.