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Finding the Third Proportional to 173,284 and 379,656

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Solution

The third proportional to 173,284 and 379,656 is: 831,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,284 : 379,656 = 379,656 : x
  2. Step 2: Convert to fraction form
    173,284/379,656 = 379,656/x
  3. Step 3: Cross multiply
    173,284x = 379,656 × 379,656
  4. Step 4: Simplify right side
    173,284x = 144,138,678,336
  5. Step 5: Solve for x
    x = 144,138,678,336/173,284
  6. Step 6: Final answer
    x = 831,806.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.