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Finding the Third Proportional to 199,581.75 and 436,037.63

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Solution

The third proportional to 199,581.75 and 436,037.63 is: 952,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,581.75 : 436,037.63 = 436,037.63 : x
  2. Step 2: Convert to fraction form
    199,581.75/436,037.63 = 436,037.63/x
  3. Step 3: Cross multiply
    199,581.75x = 436,037.63 × 436,037.63
  4. Step 4: Simplify right side
    199,581.75x = 190,128,810,415.64
  5. Step 5: Solve for x
    x = 190,128,810,415.64/199,581.75
  6. Step 6: Final answer
    x = 952,636.25

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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.