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Finding the Third Proportional to 200,049.75 and 436,048.31

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Solution

The third proportional to 200,049.75 and 436,048.31 is: 950,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,049.75 : 436,048.31 = 436,048.31 : x
  2. Step 2: Convert to fraction form
    200,049.75/436,048.31 = 436,048.31/x
  3. Step 3: Cross multiply
    200,049.75x = 436,048.31 × 436,048.31
  4. Step 4: Simplify right side
    200,049.75x = 190,138,130,834.10
  5. Step 5: Solve for x
    x = 190,138,130,834.10/200,049.75
  6. Step 6: Final answer
    x = 950,454.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.