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Finding the Third Proportional to 236,936 and 513,184

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Solution

The third proportional to 236,936 and 513,184 is: 1,111,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,936 : 513,184 = 513,184 : x
  2. Step 2: Convert to fraction form
    236,936/513,184 = 513,184/x
  3. Step 3: Cross multiply
    236,936x = 513,184 × 513,184
  4. Step 4: Simplify right side
    236,936x = 263,357,817,856
  5. Step 5: Solve for x
    x = 263,357,817,856/236,936
  6. Step 6: Final answer
    x = 1,111,514.58

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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.