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Finding the Third Proportional to 174,427 and 380,005

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Solution

The third proportional to 174,427 and 380,005 is: 827,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,427 : 380,005 = 380,005 : x
  2. Step 2: Convert to fraction form
    174,427/380,005 = 380,005/x
  3. Step 3: Cross multiply
    174,427x = 380,005 × 380,005
  4. Step 4: Simplify right side
    174,427x = 144,403,800,025
  5. Step 5: Solve for x
    x = 144,403,800,025/174,427
  6. Step 6: Final answer
    x = 827,875.27

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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.