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Finding the Third Proportional to 155,514.94 and 338,686.31

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Solution

The third proportional to 155,514.94 and 338,686.31 is: 737,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,514.94 : 338,686.31 = 338,686.31 : x
  2. Step 2: Convert to fraction form
    155,514.94/338,686.31 = 338,686.31/x
  3. Step 3: Cross multiply
    155,514.94x = 338,686.31 × 338,686.31
  4. Step 4: Simplify right side
    155,514.94x = 114,708,418,274.85
  5. Step 5: Solve for x
    x = 114,708,418,274.85/155,514.94
  6. Step 6: Final answer
    x = 737,603.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.