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Finding the Third Proportional to 172,851.75 and 352,563.75

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Solution

The third proportional to 172,851.75 and 352,563.75 is: 719,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,851.75 : 352,563.75 = 352,563.75 : x
  2. Step 2: Convert to fraction form
    172,851.75/352,563.75 = 352,563.75/x
  3. Step 3: Cross multiply
    172,851.75x = 352,563.75 × 352,563.75
  4. Step 4: Simplify right side
    172,851.75x = 124,301,197,814.06
  5. Step 5: Solve for x
    x = 124,301,197,814.06/172,851.75
  6. Step 6: Final answer
    x = 719,120.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.