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Finding the Third Proportional to 176,942 and 374,620

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Solution

The third proportional to 176,942 and 374,620 is: 793,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,942 : 374,620 = 374,620 : x
  2. Step 2: Convert to fraction form
    176,942/374,620 = 374,620/x
  3. Step 3: Cross multiply
    176,942x = 374,620 × 374,620
  4. Step 4: Simplify right side
    176,942x = 140,340,144,400
  5. Step 5: Solve for x
    x = 140,340,144,400/176,942
  6. Step 6: Final answer
    x = 793,142.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.