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Finding the Third Proportional to 261,556.75 and 370,204.33

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Solution

The third proportional to 261,556.75 and 370,204.33 is: 523,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,556.75 : 370,204.33 = 370,204.33 : x
  2. Step 2: Convert to fraction form
    261,556.75/370,204.33 = 370,204.33/x
  3. Step 3: Cross multiply
    261,556.75x = 370,204.33 × 370,204.33
  4. Step 4: Simplify right side
    261,556.75x = 137,051,246,008.59
  5. Step 5: Solve for x
    x = 137,051,246,008.59/261,556.75
  6. Step 6: Final answer
    x = 523,982.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.