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Finding the Third Proportional to 140,096.25 and 304,006.50

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Solution

The third proportional to 140,096.25 and 304,006.50 is: 659,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,096.25 : 304,006.50 = 304,006.50 : x
  2. Step 2: Convert to fraction form
    140,096.25/304,006.50 = 304,006.50/x
  3. Step 3: Cross multiply
    140,096.25x = 304,006.50 × 304,006.50
  4. Step 4: Simplify right side
    140,096.25x = 92,419,952,042.25
  5. Step 5: Solve for x
    x = 92,419,952,042.25/140,096.25
  6. Step 6: Final answer
    x = 659,688.98

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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.