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Finding the Third Proportional to 252,771.75 and 550,179

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Solution

The third proportional to 252,771.75 and 550,179 is: 1,197,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,771.75 : 550,179 = 550,179 : x
  2. Step 2: Convert to fraction form
    252,771.75/550,179 = 550,179/x
  3. Step 3: Cross multiply
    252,771.75x = 550,179 × 550,179
  4. Step 4: Simplify right side
    252,771.75x = 302,696,932,041
  5. Step 5: Solve for x
    x = 302,696,932,041/252,771.75
  6. Step 6: Final answer
    x = 1,197,510.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.