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Finding the Third Proportional to 177,704 and 268,673

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Solution

The third proportional to 177,704 and 268,673 is: 406,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,704 : 268,673 = 268,673 : x
  2. Step 2: Convert to fraction form
    177,704/268,673 = 268,673/x
  3. Step 3: Cross multiply
    177,704x = 268,673 × 268,673
  4. Step 4: Simplify right side
    177,704x = 72,185,180,929
  5. Step 5: Solve for x
    x = 72,185,180,929/177,704
  6. Step 6: Final answer
    x = 406,210.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.