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Finding the Third Proportional to 174,900.75 and 386,555.06

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Solution

The third proportional to 174,900.75 and 386,555.06 is: 854,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,900.75 : 386,555.06 = 386,555.06 : x
  2. Step 2: Convert to fraction form
    174,900.75/386,555.06 = 386,555.06/x
  3. Step 3: Cross multiply
    174,900.75x = 386,555.06 × 386,555.06
  4. Step 4: Simplify right side
    174,900.75x = 149,424,816,344.38
  5. Step 5: Solve for x
    x = 149,424,816,344.38/174,900.75
  6. Step 6: Final answer
    x = 854,340.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.