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Finding the Third Proportional to 80,688 and 175,392

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Solution

The third proportional to 80,688 and 175,392 is: 381,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,688 : 175,392 = 175,392 : x
  2. Step 2: Convert to fraction form
    80,688/175,392 = 175,392/x
  3. Step 3: Cross multiply
    80,688x = 175,392 × 175,392
  4. Step 4: Simplify right side
    80,688x = 30,762,353,664
  5. Step 5: Solve for x
    x = 30,762,353,664/80,688
  6. Step 6: Final answer
    x = 381,250.67

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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.