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Finding the Third Proportional to 190,906 and 395,024

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Solution

The third proportional to 190,906 and 395,024 is: 817,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,906 : 395,024 = 395,024 : x
  2. Step 2: Convert to fraction form
    190,906/395,024 = 395,024/x
  3. Step 3: Cross multiply
    190,906x = 395,024 × 395,024
  4. Step 4: Simplify right side
    190,906x = 156,043,960,576
  5. Step 5: Solve for x
    x = 156,043,960,576/190,906
  6. Step 6: Final answer
    x = 817,386.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.