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Finding the Third Proportional to 186,348.94 and 248,277.66

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Solution

The third proportional to 186,348.94 and 248,277.66 is: 330,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,348.94 : 248,277.66 = 248,277.66 : x
  2. Step 2: Convert to fraction form
    186,348.94/248,277.66 = 248,277.66/x
  3. Step 3: Cross multiply
    186,348.94x = 248,277.66 × 248,277.66
  4. Step 4: Simplify right side
    186,348.94x = 61,641,794,592.99
  5. Step 5: Solve for x
    x = 61,641,794,592.99/186,348.94
  6. Step 6: Final answer
    x = 330,786.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.