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Finding the Third Proportional to 215,424 and 460,172

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Solution

The third proportional to 215,424 and 460,172 is: 982,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 460,172 = 460,172 : x
  2. Step 2: Convert to fraction form
    215,424/460,172 = 460,172/x
  3. Step 3: Cross multiply
    215,424x = 460,172 × 460,172
  4. Step 4: Simplify right side
    215,424x = 211,758,269,584
  5. Step 5: Solve for x
    x = 211,758,269,584/215,424
  6. Step 6: Final answer
    x = 982,983.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.