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Finding the Third Proportional to 172,012.50 and 370,244.25

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Solution

The third proportional to 172,012.50 and 370,244.25 is: 796,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012.50 : 370,244.25 = 370,244.25 : x
  2. Step 2: Convert to fraction form
    172,012.50/370,244.25 = 370,244.25/x
  3. Step 3: Cross multiply
    172,012.50x = 370,244.25 × 370,244.25
  4. Step 4: Simplify right side
    172,012.50x = 137,080,804,658.06
  5. Step 5: Solve for x
    x = 137,080,804,658.06/172,012.50
  6. Step 6: Final answer
    x = 796,923.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.