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Finding the Third Proportional to 212,796 and 333,072

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Solution

The third proportional to 212,796 and 333,072 is: 521,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,796 : 333,072 = 333,072 : x
  2. Step 2: Convert to fraction form
    212,796/333,072 = 333,072/x
  3. Step 3: Cross multiply
    212,796x = 333,072 × 333,072
  4. Step 4: Simplify right side
    212,796x = 110,936,957,184
  5. Step 5: Solve for x
    x = 110,936,957,184/212,796
  6. Step 6: Final answer
    x = 521,330.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.