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Finding the Third Proportional to 190,306 and 409,844

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Solution

The third proportional to 190,306 and 409,844 is: 882,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,306 : 409,844 = 409,844 : x
  2. Step 2: Convert to fraction form
    190,306/409,844 = 409,844/x
  3. Step 3: Cross multiply
    190,306x = 409,844 × 409,844
  4. Step 4: Simplify right side
    190,306x = 167,972,104,336
  5. Step 5: Solve for x
    x = 167,972,104,336/190,306
  6. Step 6: Final answer
    x = 882,642.19

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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.