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Finding the Third Proportional to 180,116 and 416,972

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Solution

The third proportional to 180,116 and 416,972 is: 965,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,116 : 416,972 = 416,972 : x
  2. Step 2: Convert to fraction form
    180,116/416,972 = 416,972/x
  3. Step 3: Cross multiply
    180,116x = 416,972 × 416,972
  4. Step 4: Simplify right side
    180,116x = 173,865,648,784
  5. Step 5: Solve for x
    x = 173,865,648,784/180,116
  6. Step 6: Final answer
    x = 965,298.19

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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.