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Finding the Third Proportional to 183,376 and 276,278

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Solution

The third proportional to 183,376 and 276,278 is: 416,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,376 : 276,278 = 276,278 : x
  2. Step 2: Convert to fraction form
    183,376/276,278 = 276,278/x
  3. Step 3: Cross multiply
    183,376x = 276,278 × 276,278
  4. Step 4: Simplify right side
    183,376x = 76,329,533,284
  5. Step 5: Solve for x
    x = 76,329,533,284/183,376
  6. Step 6: Final answer
    x = 416,246.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.