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Finding the Third Proportional to 172,341.75 and 258,694.88

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Solution

The third proportional to 172,341.75 and 258,694.88 is: 388,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,341.75 : 258,694.88 = 258,694.88 : x
  2. Step 2: Convert to fraction form
    172,341.75/258,694.88 = 258,694.88/x
  3. Step 3: Cross multiply
    172,341.75x = 258,694.88 × 258,694.88
  4. Step 4: Simplify right side
    172,341.75x = 66,923,038,351.27
  5. Step 5: Solve for x
    x = 66,923,038,351.27/172,341.75
  6. Step 6: Final answer
    x = 388,315.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.