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Finding the Third Proportional to 181,179 and 299,445

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Solution

The third proportional to 181,179 and 299,445 is: 494,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,179 : 299,445 = 299,445 : x
  2. Step 2: Convert to fraction form
    181,179/299,445 = 299,445/x
  3. Step 3: Cross multiply
    181,179x = 299,445 × 299,445
  4. Step 4: Simplify right side
    181,179x = 89,667,308,025
  5. Step 5: Solve for x
    x = 89,667,308,025/181,179
  6. Step 6: Final answer
    x = 494,910.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.