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Finding the Third Proportional to 190,555.88 and 280,577.25

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Solution

The third proportional to 190,555.88 and 280,577.25 is: 413,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,555.88 : 280,577.25 = 280,577.25 : x
  2. Step 2: Convert to fraction form
    190,555.88/280,577.25 = 280,577.25/x
  3. Step 3: Cross multiply
    190,555.88x = 280,577.25 × 280,577.25
  4. Step 4: Simplify right side
    190,555.88x = 78,723,593,217.56
  5. Step 5: Solve for x
    x = 78,723,593,217.56/190,555.88
  6. Step 6: Final answer
    x = 413,126.04

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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.