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Finding the Third Proportional to 181,296 and 392,724

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Solution

The third proportional to 181,296 and 392,724 is: 850,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,296 : 392,724 = 392,724 : x
  2. Step 2: Convert to fraction form
    181,296/392,724 = 392,724/x
  3. Step 3: Cross multiply
    181,296x = 392,724 × 392,724
  4. Step 4: Simplify right side
    181,296x = 154,232,140,176
  5. Step 5: Solve for x
    x = 154,232,140,176/181,296
  6. Step 6: Final answer
    x = 850,720.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.