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Finding the Third Proportional to 174,154.50 and 260,556.75

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Solution

The third proportional to 174,154.50 and 260,556.75 is: 389,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,154.50 : 260,556.75 = 260,556.75 : x
  2. Step 2: Convert to fraction form
    174,154.50/260,556.75 = 260,556.75/x
  3. Step 3: Cross multiply
    174,154.50x = 260,556.75 × 260,556.75
  4. Step 4: Simplify right side
    174,154.50x = 67,889,819,970.56
  5. Step 5: Solve for x
    x = 67,889,819,970.56/174,154.50
  6. Step 6: Final answer
    x = 389,825.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.