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Finding the Third Proportional to 104,180 and 215,746

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Solution

The third proportional to 104,180 and 215,746 is: 446,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,180 : 215,746 = 215,746 : x
  2. Step 2: Convert to fraction form
    104,180/215,746 = 215,746/x
  3. Step 3: Cross multiply
    104,180x = 215,746 × 215,746
  4. Step 4: Simplify right side
    104,180x = 46,546,336,516
  5. Step 5: Solve for x
    x = 46,546,336,516/104,180
  6. Step 6: Final answer
    x = 446,787.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.