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Finding the Third Proportional to 178,696.13 and 276,804

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Solution

The third proportional to 178,696.13 and 276,804 is: 428,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.13 : 276,804 = 276,804 : x
  2. Step 2: Convert to fraction form
    178,696.13/276,804 = 276,804/x
  3. Step 3: Cross multiply
    178,696.13x = 276,804 × 276,804
  4. Step 4: Simplify right side
    178,696.13x = 76,620,454,416
  5. Step 5: Solve for x
    x = 76,620,454,416/178,696.13
  6. Step 6: Final answer
    x = 428,775.13

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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.