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Finding the Third Proportional to 200,125.69 and 433,451.25

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Solution

The third proportional to 200,125.69 and 433,451.25 is: 938,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,125.69 : 433,451.25 = 433,451.25 : x
  2. Step 2: Convert to fraction form
    200,125.69/433,451.25 = 433,451.25/x
  3. Step 3: Cross multiply
    200,125.69x = 433,451.25 × 433,451.25
  4. Step 4: Simplify right side
    200,125.69x = 187,879,986,126.56
  5. Step 5: Solve for x
    x = 187,879,986,126.56/200,125.69
  6. Step 6: Final answer
    x = 938,809.95

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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.