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Finding the Third Proportional to 130,149 and 204,907.50

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Solution

The third proportional to 130,149 and 204,907.50 is: 322,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,149 : 204,907.50 = 204,907.50 : x
  2. Step 2: Convert to fraction form
    130,149/204,907.50 = 204,907.50/x
  3. Step 3: Cross multiply
    130,149x = 204,907.50 × 204,907.50
  4. Step 4: Simplify right side
    130,149x = 41,987,083,556.25
  5. Step 5: Solve for x
    x = 41,987,083,556.25/130,149
  6. Step 6: Final answer
    x = 322,607.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.