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Finding the Third Proportional to 174,153 and 382,555

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Solution

The third proportional to 174,153 and 382,555 is: 840,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,153 : 382,555 = 382,555 : x
  2. Step 2: Convert to fraction form
    174,153/382,555 = 382,555/x
  3. Step 3: Cross multiply
    174,153x = 382,555 × 382,555
  4. Step 4: Simplify right side
    174,153x = 146,348,328,025
  5. Step 5: Solve for x
    x = 146,348,328,025/174,153
  6. Step 6: Final answer
    x = 840,343.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.