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Finding the Third Proportional to 133,780.88 and 183,447.94

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Solution

The third proportional to 133,780.88 and 183,447.94 is: 251,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.88 : 183,447.94 = 183,447.94 : x
  2. Step 2: Convert to fraction form
    133,780.88/183,447.94 = 183,447.94/x
  3. Step 3: Cross multiply
    133,780.88x = 183,447.94 × 183,447.94
  4. Step 4: Simplify right side
    133,780.88x = 33,653,145,773.00
  5. Step 5: Solve for x
    x = 33,653,145,773.00/133,780.88
  6. Step 6: Final answer
    x = 251,554.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.