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Finding the Third Proportional to 226,378.50 and 306,351

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Solution

The third proportional to 226,378.50 and 306,351 is: 414,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,378.50 : 306,351 = 306,351 : x
  2. Step 2: Convert to fraction form
    226,378.50/306,351 = 306,351/x
  3. Step 3: Cross multiply
    226,378.50x = 306,351 × 306,351
  4. Step 4: Simplify right side
    226,378.50x = 93,850,935,201
  5. Step 5: Solve for x
    x = 93,850,935,201/226,378.50
  6. Step 6: Final answer
    x = 414,575.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.