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Finding the Third Proportional to 200,761.50 and 436,515

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Solution

The third proportional to 200,761.50 and 436,515 is: 949,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,761.50 : 436,515 = 436,515 : x
  2. Step 2: Convert to fraction form
    200,761.50/436,515 = 436,515/x
  3. Step 3: Cross multiply
    200,761.50x = 436,515 × 436,515
  4. Step 4: Simplify right side
    200,761.50x = 190,545,345,225
  5. Step 5: Solve for x
    x = 190,545,345,225/200,761.50
  6. Step 6: Final answer
    x = 949,112.98

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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.