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Finding the Third Proportional to 174,367.69 and 266,707.69

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Solution

The third proportional to 174,367.69 and 266,707.69 is: 407,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,367.69 : 266,707.69 = 266,707.69 : x
  2. Step 2: Convert to fraction form
    174,367.69/266,707.69 = 266,707.69/x
  3. Step 3: Cross multiply
    174,367.69x = 266,707.69 × 266,707.69
  4. Step 4: Simplify right side
    174,367.69x = 71,132,990,571.60
  5. Step 5: Solve for x
    x = 71,132,990,571.60/174,367.69
  6. Step 6: Final answer
    x = 407,948.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.