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Finding the Third Proportional to 251,174 and 377,323

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Solution

The third proportional to 251,174 and 377,323 is: 566,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,174 : 377,323 = 377,323 : x
  2. Step 2: Convert to fraction form
    251,174/377,323 = 377,323/x
  3. Step 3: Cross multiply
    251,174x = 377,323 × 377,323
  4. Step 4: Simplify right side
    251,174x = 142,372,646,329
  5. Step 5: Solve for x
    x = 142,372,646,329/251,174
  6. Step 6: Final answer
    x = 566,828.76

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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.