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Finding the Third Proportional to 183,750.19 and 276,694.31

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Solution

The third proportional to 183,750.19 and 276,694.31 is: 416,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,750.19 : 276,694.31 = 276,694.31 : x
  2. Step 2: Convert to fraction form
    183,750.19/276,694.31 = 276,694.31/x
  3. Step 3: Cross multiply
    183,750.19x = 276,694.31 × 276,694.31
  4. Step 4: Simplify right side
    183,750.19x = 76,559,742,569.85
  5. Step 5: Solve for x
    x = 76,559,742,569.85/183,750.19
  6. Step 6: Final answer
    x = 416,651.24

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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.