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Finding the Third Proportional to 226,982 and 351,239

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Solution

The third proportional to 226,982 and 351,239 is: 543,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,982 : 351,239 = 351,239 : x
  2. Step 2: Convert to fraction form
    226,982/351,239 = 351,239/x
  3. Step 3: Cross multiply
    226,982x = 351,239 × 351,239
  4. Step 4: Simplify right side
    226,982x = 123,368,835,121
  5. Step 5: Solve for x
    x = 123,368,835,121/226,982
  6. Step 6: Final answer
    x = 543,518.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.