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Finding the Third Proportional to 116,827.88 and 255,277.13

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Solution

The third proportional to 116,827.88 and 255,277.13 is: 557,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,827.88 : 255,277.13 = 255,277.13 : x
  2. Step 2: Convert to fraction form
    116,827.88/255,277.13 = 255,277.13/x
  3. Step 3: Cross multiply
    116,827.88x = 255,277.13 × 255,277.13
  4. Step 4: Simplify right side
    116,827.88x = 65,166,410,548.27
  5. Step 5: Solve for x
    x = 65,166,410,548.27/116,827.88
  6. Step 6: Final answer
    x = 557,798.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.