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Finding the Third Proportional to 116,877.94 and 177,777.28

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Solution

The third proportional to 116,877.94 and 177,777.28 is: 270,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,877.94 : 177,777.28 = 177,777.28 : x
  2. Step 2: Convert to fraction form
    116,877.94/177,777.28 = 177,777.28/x
  3. Step 3: Cross multiply
    116,877.94x = 177,777.28 × 177,777.28
  4. Step 4: Simplify right side
    116,877.94x = 31,604,761,728.64
  5. Step 5: Solve for x
    x = 31,604,761,728.64/116,877.94
  6. Step 6: Final answer
    x = 270,408.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.