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Finding the Third Proportional to 200,731 and 295,551.75

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Solution

The third proportional to 200,731 and 295,551.75 is: 435,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731 : 295,551.75 = 295,551.75 : x
  2. Step 2: Convert to fraction form
    200,731/295,551.75 = 295,551.75/x
  3. Step 3: Cross multiply
    200,731x = 295,551.75 × 295,551.75
  4. Step 4: Simplify right side
    200,731x = 87,350,836,928.06
  5. Step 5: Solve for x
    x = 87,350,836,928.06/200,731
  6. Step 6: Final answer
    x = 435,163.66

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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.