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Finding the Third Proportional to 200,042.25 and 436,032.75

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Solution

The third proportional to 200,042.25 and 436,032.75 is: 950,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,042.25 : 436,032.75 = 436,032.75 : x
  2. Step 2: Convert to fraction form
    200,042.25/436,032.75 = 436,032.75/x
  3. Step 3: Cross multiply
    200,042.25x = 436,032.75 × 436,032.75
  4. Step 4: Simplify right side
    200,042.25x = 190,124,559,072.56
  5. Step 5: Solve for x
    x = 190,124,559,072.56/200,042.25
  6. Step 6: Final answer
    x = 950,422.02

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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.