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Finding the Third Proportional to 176,517 and 382,014

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Solution

The third proportional to 176,517 and 382,014 is: 826,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,517 : 382,014 = 382,014 : x
  2. Step 2: Convert to fraction form
    176,517/382,014 = 382,014/x
  3. Step 3: Cross multiply
    176,517x = 382,014 × 382,014
  4. Step 4: Simplify right side
    176,517x = 145,934,696,196
  5. Step 5: Solve for x
    x = 145,934,696,196/176,517
  6. Step 6: Final answer
    x = 826,745.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.