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Finding the Third Proportional to 118,886.91 and 255,064.78

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Solution

The third proportional to 118,886.91 and 255,064.78 is: 547,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,886.91 : 255,064.78 = 255,064.78 : x
  2. Step 2: Convert to fraction form
    118,886.91/255,064.78 = 255,064.78/x
  3. Step 3: Cross multiply
    118,886.91x = 255,064.78 × 255,064.78
  4. Step 4: Simplify right side
    118,886.91x = 65,058,042,634.11
  5. Step 5: Solve for x
    x = 65,058,042,634.11/118,886.91
  6. Step 6: Final answer
    x = 547,226.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.