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Finding the Third Proportional to 173,943 and 377,629

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Solution

The third proportional to 173,943 and 377,629 is: 819,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,943 : 377,629 = 377,629 : x
  2. Step 2: Convert to fraction form
    173,943/377,629 = 377,629/x
  3. Step 3: Cross multiply
    173,943x = 377,629 × 377,629
  4. Step 4: Simplify right side
    173,943x = 142,603,661,641
  5. Step 5: Solve for x
    x = 142,603,661,641/173,943
  6. Step 6: Final answer
    x = 819,829.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.