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Finding the Third Proportional to 251,176 and 377,326

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Solution

The third proportional to 251,176 and 377,326 is: 566,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,176 : 377,326 = 377,326 : x
  2. Step 2: Convert to fraction form
    251,176/377,326 = 377,326/x
  3. Step 3: Cross multiply
    251,176x = 377,326 × 377,326
  4. Step 4: Simplify right side
    251,176x = 142,374,910,276
  5. Step 5: Solve for x
    x = 142,374,910,276/251,176
  6. Step 6: Final answer
    x = 566,833.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.