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Finding the Third Proportional to 180,166 and 417,035

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Solution

The third proportional to 180,166 and 417,035 is: 965,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,166 : 417,035 = 417,035 : x
  2. Step 2: Convert to fraction form
    180,166/417,035 = 417,035/x
  3. Step 3: Cross multiply
    180,166x = 417,035 × 417,035
  4. Step 4: Simplify right side
    180,166x = 173,918,191,225
  5. Step 5: Solve for x
    x = 173,918,191,225/180,166
  6. Step 6: Final answer
    x = 965,321.93

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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.