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Finding the Third Proportional to 169,464 and 365,162

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Solution

The third proportional to 169,464 and 365,162 is: 786,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,464 : 365,162 = 365,162 : x
  2. Step 2: Convert to fraction form
    169,464/365,162 = 365,162/x
  3. Step 3: Cross multiply
    169,464x = 365,162 × 365,162
  4. Step 4: Simplify right side
    169,464x = 133,343,286,244
  5. Step 5: Solve for x
    x = 133,343,286,244/169,464
  6. Step 6: Final answer
    x = 786,853.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.