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Finding the Third Proportional to 174,515 and 379,931

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Solution

The third proportional to 174,515 and 379,931 is: 827,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,515 : 379,931 = 379,931 : x
  2. Step 2: Convert to fraction form
    174,515/379,931 = 379,931/x
  3. Step 3: Cross multiply
    174,515x = 379,931 × 379,931
  4. Step 4: Simplify right side
    174,515x = 144,347,564,761
  5. Step 5: Solve for x
    x = 144,347,564,761/174,515
  6. Step 6: Final answer
    x = 827,135.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.