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Finding the Third Proportional to 253,343 and 356,275

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Solution

The third proportional to 253,343 and 356,275 is: 501,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,343 : 356,275 = 356,275 : x
  2. Step 2: Convert to fraction form
    253,343/356,275 = 356,275/x
  3. Step 3: Cross multiply
    253,343x = 356,275 × 356,275
  4. Step 4: Simplify right side
    253,343x = 126,931,875,625
  5. Step 5: Solve for x
    x = 126,931,875,625/253,343
  6. Step 6: Final answer
    x = 501,027.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.