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Finding the Third Proportional to 180,130 and 417,005

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Solution

The third proportional to 180,130 and 417,005 is: 965,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,130 : 417,005 = 417,005 : x
  2. Step 2: Convert to fraction form
    180,130/417,005 = 417,005/x
  3. Step 3: Cross multiply
    180,130x = 417,005 × 417,005
  4. Step 4: Simplify right side
    180,130x = 173,893,170,025
  5. Step 5: Solve for x
    x = 173,893,170,025/180,130
  6. Step 6: Final answer
    x = 965,375.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.