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Finding the Third Proportional to 171,816.75 and 355,416.75

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Solution

The third proportional to 171,816.75 and 355,416.75 is: 735,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,816.75 : 355,416.75 = 355,416.75 : x
  2. Step 2: Convert to fraction form
    171,816.75/355,416.75 = 355,416.75/x
  3. Step 3: Cross multiply
    171,816.75x = 355,416.75 × 355,416.75
  4. Step 4: Simplify right side
    171,816.75x = 126,321,066,180.56
  5. Step 5: Solve for x
    x = 126,321,066,180.56/171,816.75
  6. Step 6: Final answer
    x = 735,208.10

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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.