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Finding the Third Proportional to 172,970.44 and 262,956.38

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Solution

The third proportional to 172,970.44 and 262,956.38 is: 399,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,970.44 : 262,956.38 = 262,956.38 : x
  2. Step 2: Convert to fraction form
    172,970.44/262,956.38 = 262,956.38/x
  3. Step 3: Cross multiply
    172,970.44x = 262,956.38 × 262,956.38
  4. Step 4: Simplify right side
    172,970.44x = 69,146,055,153.14
  5. Step 5: Solve for x
    x = 69,146,055,153.14/172,970.44
  6. Step 6: Final answer
    x = 399,756.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.