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Finding the Third Proportional to 118,774.69 and 247,345.31

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Solution

The third proportional to 118,774.69 and 247,345.31 is: 515,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,774.69 : 247,345.31 = 247,345.31 : x
  2. Step 2: Convert to fraction form
    118,774.69/247,345.31 = 247,345.31/x
  3. Step 3: Cross multiply
    118,774.69x = 247,345.31 × 247,345.31
  4. Step 4: Simplify right side
    118,774.69x = 61,179,703,615.72
  5. Step 5: Solve for x
    x = 61,179,703,615.72/118,774.69
  6. Step 6: Final answer
    x = 515,090.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.