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Finding the Third Proportional to 190,991.50 and 404,749.75

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Solution

The third proportional to 190,991.50 and 404,749.75 is: 857,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,991.50 : 404,749.75 = 404,749.75 : x
  2. Step 2: Convert to fraction form
    190,991.50/404,749.75 = 404,749.75/x
  3. Step 3: Cross multiply
    190,991.50x = 404,749.75 × 404,749.75
  4. Step 4: Simplify right side
    190,991.50x = 163,822,360,125.06
  5. Step 5: Solve for x
    x = 163,822,360,125.06/190,991.50
  6. Step 6: Final answer
    x = 857,746.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.