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Finding the Third Proportional to 253,385.75 and 550,875

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Solution

The third proportional to 253,385.75 and 550,875 is: 1,197,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,385.75 : 550,875 = 550,875 : x
  2. Step 2: Convert to fraction form
    253,385.75/550,875 = 550,875/x
  3. Step 3: Cross multiply
    253,385.75x = 550,875 × 550,875
  4. Step 4: Simplify right side
    253,385.75x = 303,463,265,625
  5. Step 5: Solve for x
    x = 303,463,265,625/253,385.75
  6. Step 6: Final answer
    x = 1,197,633.51

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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.