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Finding the Third Proportional to 215,326 and 460,100

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Solution

The third proportional to 215,326 and 460,100 is: 983,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,326 : 460,100 = 460,100 : x
  2. Step 2: Convert to fraction form
    215,326/460,100 = 460,100/x
  3. Step 3: Cross multiply
    215,326x = 460,100 × 460,100
  4. Step 4: Simplify right side
    215,326x = 211,692,010,000
  5. Step 5: Solve for x
    x = 211,692,010,000/215,326
  6. Step 6: Final answer
    x = 983,123.31

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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.