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Finding the Third Proportional to 176,938 and 384,975

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Solution

The third proportional to 176,938 and 384,975 is: 837,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,938 : 384,975 = 384,975 : x
  2. Step 2: Convert to fraction form
    176,938/384,975 = 384,975/x
  3. Step 3: Cross multiply
    176,938x = 384,975 × 384,975
  4. Step 4: Simplify right side
    176,938x = 148,205,750,625
  5. Step 5: Solve for x
    x = 148,205,750,625/176,938
  6. Step 6: Final answer
    x = 837,614.03

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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.