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Finding the Third Proportional to 180,163 and 417,028

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Solution

The third proportional to 180,163 and 417,028 is: 965,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,163 : 417,028 = 417,028 : x
  2. Step 2: Convert to fraction form
    180,163/417,028 = 417,028/x
  3. Step 3: Cross multiply
    180,163x = 417,028 × 417,028
  4. Step 4: Simplify right side
    180,163x = 173,912,352,784
  5. Step 5: Solve for x
    x = 173,912,352,784/180,163
  6. Step 6: Final answer
    x = 965,305.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.