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Finding the Third Proportional to 227,250 and 336,501

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Solution

The third proportional to 227,250 and 336,501 is: 498,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,250 : 336,501 = 336,501 : x
  2. Step 2: Convert to fraction form
    227,250/336,501 = 336,501/x
  3. Step 3: Cross multiply
    227,250x = 336,501 × 336,501
  4. Step 4: Simplify right side
    227,250x = 113,232,923,001
  5. Step 5: Solve for x
    x = 113,232,923,001/227,250
  6. Step 6: Final answer
    x = 498,274.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.