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Finding the Third Proportional to 236,415.75 and 513,018

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Solution

The third proportional to 236,415.75 and 513,018 is: 1,113,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,415.75 : 513,018 = 513,018 : x
  2. Step 2: Convert to fraction form
    236,415.75/513,018 = 513,018/x
  3. Step 3: Cross multiply
    236,415.75x = 513,018 × 513,018
  4. Step 4: Simplify right side
    236,415.75x = 263,187,468,324
  5. Step 5: Solve for x
    x = 263,187,468,324/236,415.75
  6. Step 6: Final answer
    x = 1,113,239.99

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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.