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Finding the Third Proportional to 183,103.88 and 279,932.25

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Solution

The third proportional to 183,103.88 and 279,932.25 is: 427,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,103.88 : 279,932.25 = 279,932.25 : x
  2. Step 2: Convert to fraction form
    183,103.88/279,932.25 = 279,932.25/x
  3. Step 3: Cross multiply
    183,103.88x = 279,932.25 × 279,932.25
  4. Step 4: Simplify right side
    183,103.88x = 78,362,064,590.06
  5. Step 5: Solve for x
    x = 78,362,064,590.06/183,103.88
  6. Step 6: Final answer
    x = 427,965.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.