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Finding the Third Proportional to 235,186 and 512,329

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Solution

The third proportional to 235,186 and 512,329 is: 1,116,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,186 : 512,329 = 512,329 : x
  2. Step 2: Convert to fraction form
    235,186/512,329 = 512,329/x
  3. Step 3: Cross multiply
    235,186x = 512,329 × 512,329
  4. Step 4: Simplify right side
    235,186x = 262,481,004,241
  5. Step 5: Solve for x
    x = 262,481,004,241/235,186
  6. Step 6: Final answer
    x = 1,116,057.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.