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Finding the Third Proportional to 169,000 and 367,196

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Solution

The third proportional to 169,000 and 367,196 is: 797,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,000 : 367,196 = 367,196 : x
  2. Step 2: Convert to fraction form
    169,000/367,196 = 367,196/x
  3. Step 3: Cross multiply
    169,000x = 367,196 × 367,196
  4. Step 4: Simplify right side
    169,000x = 134,832,902,416
  5. Step 5: Solve for x
    x = 134,832,902,416/169,000
  6. Step 6: Final answer
    x = 797,827.82

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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.