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Finding the Third Proportional to 164,236 and 251,310

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Solution

The third proportional to 164,236 and 251,310 is: 384,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,236 : 251,310 = 251,310 : x
  2. Step 2: Convert to fraction form
    164,236/251,310 = 251,310/x
  3. Step 3: Cross multiply
    164,236x = 251,310 × 251,310
  4. Step 4: Simplify right side
    164,236x = 63,156,716,100
  5. Step 5: Solve for x
    x = 63,156,716,100/164,236
  6. Step 6: Final answer
    x = 384,548.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.