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Finding the Third Proportional to 183,753 and 276,698.25

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Solution

The third proportional to 183,753 and 276,698.25 is: 416,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,753 : 276,698.25 = 276,698.25 : x
  2. Step 2: Convert to fraction form
    183,753/276,698.25 = 276,698.25/x
  3. Step 3: Cross multiply
    183,753x = 276,698.25 × 276,698.25
  4. Step 4: Simplify right side
    183,753x = 76,561,921,553.06
  5. Step 5: Solve for x
    x = 76,561,921,553.06/183,753
  6. Step 6: Final answer
    x = 416,656.72

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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.