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Finding the Third Proportional to 161,930 and 341,464

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Solution

The third proportional to 161,930 and 341,464 is: 720,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,930 : 341,464 = 341,464 : x
  2. Step 2: Convert to fraction form
    161,930/341,464 = 341,464/x
  3. Step 3: Cross multiply
    161,930x = 341,464 × 341,464
  4. Step 4: Simplify right side
    161,930x = 116,597,663,296
  5. Step 5: Solve for x
    x = 116,597,663,296/161,930
  6. Step 6: Final answer
    x = 720,049.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.