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Finding the Third Proportional to 140,192.13 and 308,420.25

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Solution

The third proportional to 140,192.13 and 308,420.25 is: 678,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,192.13 : 308,420.25 = 308,420.25 : x
  2. Step 2: Convert to fraction form
    140,192.13/308,420.25 = 308,420.25/x
  3. Step 3: Cross multiply
    140,192.13x = 308,420.25 × 308,420.25
  4. Step 4: Simplify right side
    140,192.13x = 95,123,050,610.06
  5. Step 5: Solve for x
    x = 95,123,050,610.06/140,192.13
  6. Step 6: Final answer
    x = 678,519.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.