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Finding the Third Proportional to 118,675.13 and 256,076.44

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Solution

The third proportional to 118,675.13 and 256,076.44 is: 552,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,675.13 : 256,076.44 = 256,076.44 : x
  2. Step 2: Convert to fraction form
    118,675.13/256,076.44 = 256,076.44/x
  3. Step 3: Cross multiply
    118,675.13x = 256,076.44 × 256,076.44
  4. Step 4: Simplify right side
    118,675.13x = 65,575,141,842.69
  5. Step 5: Solve for x
    x = 65,575,141,842.69/118,675.13
  6. Step 6: Final answer
    x = 552,560.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.