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Finding the Third Proportional to 172,050.75 and 273,288.09

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Solution

The third proportional to 172,050.75 and 273,288.09 is: 434,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,050.75 : 273,288.09 = 273,288.09 : x
  2. Step 2: Convert to fraction form
    172,050.75/273,288.09 = 273,288.09/x
  3. Step 3: Cross multiply
    172,050.75x = 273,288.09 × 273,288.09
  4. Step 4: Simplify right side
    172,050.75x = 74,686,382,185.51
  5. Step 5: Solve for x
    x = 74,686,382,185.51/172,050.75
  6. Step 6: Final answer
    x = 434,095.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.