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Finding the Third Proportional to 200,040.75 and 433,280.25

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Solution

The third proportional to 200,040.75 and 433,280.25 is: 938,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,040.75 : 433,280.25 = 433,280.25 : x
  2. Step 2: Convert to fraction form
    200,040.75/433,280.25 = 433,280.25/x
  3. Step 3: Cross multiply
    200,040.75x = 433,280.25 × 433,280.25
  4. Step 4: Simplify right side
    200,040.75x = 187,731,775,040.06
  5. Step 5: Solve for x
    x = 187,731,775,040.06/200,040.75
  6. Step 6: Final answer
    x = 938,467.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.