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Finding the Third Proportional to 215,425 and 460,174

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Solution

The third proportional to 215,425 and 460,174 is: 982,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,425 : 460,174 = 460,174 : x
  2. Step 2: Convert to fraction form
    215,425/460,174 = 460,174/x
  3. Step 3: Cross multiply
    215,425x = 460,174 × 460,174
  4. Step 4: Simplify right side
    215,425x = 211,760,110,276
  5. Step 5: Solve for x
    x = 211,760,110,276/215,425
  6. Step 6: Final answer
    x = 982,987.63

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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.