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Finding the Third Proportional to 161,576 and 330,988

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Solution

The third proportional to 161,576 and 330,988 is: 678,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,576 : 330,988 = 330,988 : x
  2. Step 2: Convert to fraction form
    161,576/330,988 = 330,988/x
  3. Step 3: Cross multiply
    161,576x = 330,988 × 330,988
  4. Step 4: Simplify right side
    161,576x = 109,553,056,144
  5. Step 5: Solve for x
    x = 109,553,056,144/161,576
  6. Step 6: Final answer
    x = 678,028.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.