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Finding the Third Proportional to 140,370.75 and 304,387.88

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Solution

The third proportional to 140,370.75 and 304,387.88 is: 660,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,370.75 : 304,387.88 = 304,387.88 : x
  2. Step 2: Convert to fraction form
    140,370.75/304,387.88 = 304,387.88/x
  3. Step 3: Cross multiply
    140,370.75x = 304,387.88 × 304,387.88
  4. Step 4: Simplify right side
    140,370.75x = 92,651,978,447.02
  5. Step 5: Solve for x
    x = 92,651,978,447.02/140,370.75
  6. Step 6: Final answer
    x = 660,051.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.