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Finding the Third Proportional to 175,608 and 379,295

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Solution

The third proportional to 175,608 and 379,295 is: 819,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,608 : 379,295 = 379,295 : x
  2. Step 2: Convert to fraction form
    175,608/379,295 = 379,295/x
  3. Step 3: Cross multiply
    175,608x = 379,295 × 379,295
  4. Step 4: Simplify right side
    175,608x = 143,864,697,025
  5. Step 5: Solve for x
    x = 143,864,697,025/175,608
  6. Step 6: Final answer
    x = 819,237.72

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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.