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Finding the Third Proportional to 174,911.91 and 362,277.56

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Solution

The third proportional to 174,911.91 and 362,277.56 is: 750,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911.91 : 362,277.56 = 362,277.56 : x
  2. Step 2: Convert to fraction form
    174,911.91/362,277.56 = 362,277.56/x
  3. Step 3: Cross multiply
    174,911.91x = 362,277.56 × 362,277.56
  4. Step 4: Simplify right side
    174,911.91x = 131,245,032,290.94
  5. Step 5: Solve for x
    x = 131,245,032,290.94/174,911.91
  6. Step 6: Final answer
    x = 750,349.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.