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Finding the Third Proportional to 174,838.50 and 380,811.38

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Solution

The third proportional to 174,838.50 and 380,811.38 is: 829,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,838.50 : 380,811.38 = 380,811.38 : x
  2. Step 2: Convert to fraction form
    174,838.50/380,811.38 = 380,811.38/x
  3. Step 3: Cross multiply
    174,838.50x = 380,811.38 × 380,811.38
  4. Step 4: Simplify right side
    174,838.50x = 145,017,303,329.39
  5. Step 5: Solve for x
    x = 145,017,303,329.39/174,838.50
  6. Step 6: Final answer
    x = 829,435.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.