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Finding the Third Proportional to 175,810.08 and 262,556.44

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Solution

The third proportional to 175,810.08 and 262,556.44 is: 392,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,810.08 : 262,556.44 = 262,556.44 : x
  2. Step 2: Convert to fraction form
    175,810.08/262,556.44 = 262,556.44/x
  3. Step 3: Cross multiply
    175,810.08x = 262,556.44 × 262,556.44
  4. Step 4: Simplify right side
    175,810.08x = 68,935,882,872.69
  5. Step 5: Solve for x
    x = 68,935,882,872.69/175,810.08
  6. Step 6: Final answer
    x = 392,104.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.