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Finding the Third Proportional to 175,037.25 and 271,556.25

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Solution

The third proportional to 175,037.25 and 271,556.25 is: 421,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,037.25 : 271,556.25 = 271,556.25 : x
  2. Step 2: Convert to fraction form
    175,037.25/271,556.25 = 271,556.25/x
  3. Step 3: Cross multiply
    175,037.25x = 271,556.25 × 271,556.25
  4. Step 4: Simplify right side
    175,037.25x = 73,742,796,914.06
  5. Step 5: Solve for x
    x = 73,742,796,914.06/175,037.25
  6. Step 6: Final answer
    x = 421,297.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.