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Finding the Third Proportional to 180,158 and 417,077

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Solution

The third proportional to 180,158 and 417,077 is: 965,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,158 : 417,077 = 417,077 : x
  2. Step 2: Convert to fraction form
    180,158/417,077 = 417,077/x
  3. Step 3: Cross multiply
    180,158x = 417,077 × 417,077
  4. Step 4: Simplify right side
    180,158x = 173,953,223,929
  5. Step 5: Solve for x
    x = 173,953,223,929/180,158
  6. Step 6: Final answer
    x = 965,559.25

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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.