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Finding the Third Proportional to 190,239.50 and 401,687

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Solution

The third proportional to 190,239.50 and 401,687 is: 848,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,239.50 : 401,687 = 401,687 : x
  2. Step 2: Convert to fraction form
    190,239.50/401,687 = 401,687/x
  3. Step 3: Cross multiply
    190,239.50x = 401,687 × 401,687
  4. Step 4: Simplify right side
    190,239.50x = 161,352,445,969
  5. Step 5: Solve for x
    x = 161,352,445,969/190,239.50
  6. Step 6: Final answer
    x = 848,154.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.