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Finding the Third Proportional to 200,729.88 and 295,550.38

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Solution

The third proportional to 200,729.88 and 295,550.38 is: 435,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.88 : 295,550.38 = 295,550.38 : x
  2. Step 2: Convert to fraction form
    200,729.88/295,550.38 = 295,550.38/x
  3. Step 3: Cross multiply
    200,729.88x = 295,550.38 × 295,550.38
  4. Step 4: Simplify right side
    200,729.88x = 87,350,024,162.64
  5. Step 5: Solve for x
    x = 87,350,024,162.64/200,729.88
  6. Step 6: Final answer
    x = 435,162.05

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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.