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Finding the Third Proportional to 140,305.50 and 213,960.38

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Solution

The third proportional to 140,305.50 and 213,960.38 is: 326,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,305.50 : 213,960.38 = 213,960.38 : x
  2. Step 2: Convert to fraction form
    140,305.50/213,960.38 = 213,960.38/x
  3. Step 3: Cross multiply
    140,305.50x = 213,960.38 × 213,960.38
  4. Step 4: Simplify right side
    140,305.50x = 45,779,042,070.14
  5. Step 5: Solve for x
    x = 45,779,042,070.14/140,305.50
  6. Step 6: Final answer
    x = 326,281.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.