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Finding the Third Proportional to 178,546 and 276,340

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Solution

The third proportional to 178,546 and 276,340 is: 427,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546 : 276,340 = 276,340 : x
  2. Step 2: Convert to fraction form
    178,546/276,340 = 276,340/x
  3. Step 3: Cross multiply
    178,546x = 276,340 × 276,340
  4. Step 4: Simplify right side
    178,546x = 76,363,795,600
  5. Step 5: Solve for x
    x = 76,363,795,600/178,546
  6. Step 6: Final answer
    x = 427,698.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.