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Finding the Third Proportional to 236,382 and 512,148

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Solution

The third proportional to 236,382 and 512,148 is: 1,109,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,382 : 512,148 = 512,148 : x
  2. Step 2: Convert to fraction form
    236,382/512,148 = 512,148/x
  3. Step 3: Cross multiply
    236,382x = 512,148 × 512,148
  4. Step 4: Simplify right side
    236,382x = 262,295,573,904
  5. Step 5: Solve for x
    x = 262,295,573,904/236,382
  6. Step 6: Final answer
    x = 1,109,625.83

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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.