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Finding the Third Proportional to 200,788.88 and 295,629.75

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Solution

The third proportional to 200,788.88 and 295,629.75 is: 435,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,788.88 : 295,629.75 = 295,629.75 : x
  2. Step 2: Convert to fraction form
    200,788.88/295,629.75 = 295,629.75/x
  3. Step 3: Cross multiply
    200,788.88x = 295,629.75 × 295,629.75
  4. Step 4: Simplify right side
    200,788.88x = 87,396,949,085.06
  5. Step 5: Solve for x
    x = 87,396,949,085.06/200,788.88
  6. Step 6: Final answer
    x = 435,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.