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Finding the Third Proportional to 253,841 and 336,952

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Solution

The third proportional to 253,841 and 336,952 is: 447,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,841 : 336,952 = 336,952 : x
  2. Step 2: Convert to fraction form
    253,841/336,952 = 336,952/x
  3. Step 3: Cross multiply
    253,841x = 336,952 × 336,952
  4. Step 4: Simplify right side
    253,841x = 113,536,650,304
  5. Step 5: Solve for x
    x = 113,536,650,304/253,841
  6. Step 6: Final answer
    x = 447,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.