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Finding the Third Proportional to 176,026 and 415,125

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Solution

The third proportional to 176,026 and 415,125 is: 978,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,026 : 415,125 = 415,125 : x
  2. Step 2: Convert to fraction form
    176,026/415,125 = 415,125/x
  3. Step 3: Cross multiply
    176,026x = 415,125 × 415,125
  4. Step 4: Simplify right side
    176,026x = 172,328,765,625
  5. Step 5: Solve for x
    x = 172,328,765,625/176,026
  6. Step 6: Final answer
    x = 978,996.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.