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Finding the Third Proportional to 174,795 and 380,729

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Solution

The third proportional to 174,795 and 380,729 is: 829,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,795 : 380,729 = 380,729 : x
  2. Step 2: Convert to fraction form
    174,795/380,729 = 380,729/x
  3. Step 3: Cross multiply
    174,795x = 380,729 × 380,729
  4. Step 4: Simplify right side
    174,795x = 144,954,571,441
  5. Step 5: Solve for x
    x = 144,954,571,441/174,795
  6. Step 6: Final answer
    x = 829,283.28

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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.