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Finding the Third Proportional to 164,872 and 356,024

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Solution

The third proportional to 164,872 and 356,024 is: 768,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,872 : 356,024 = 356,024 : x
  2. Step 2: Convert to fraction form
    164,872/356,024 = 356,024/x
  3. Step 3: Cross multiply
    164,872x = 356,024 × 356,024
  4. Step 4: Simplify right side
    164,872x = 126,753,088,576
  5. Step 5: Solve for x
    x = 126,753,088,576/164,872
  6. Step 6: Final answer
    x = 768,796.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.