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Finding the Third Proportional to 176,396 and 251,474

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Solution

The third proportional to 176,396 and 251,474 is: 358,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,396 : 251,474 = 251,474 : x
  2. Step 2: Convert to fraction form
    176,396/251,474 = 251,474/x
  3. Step 3: Cross multiply
    176,396x = 251,474 × 251,474
  4. Step 4: Simplify right side
    176,396x = 63,239,172,676
  5. Step 5: Solve for x
    x = 63,239,172,676/176,396
  6. Step 6: Final answer
    x = 358,506.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.