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Finding the Third Proportional to 140,942.53 and 307,323.49

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Solution

The third proportional to 140,942.53 and 307,323.49 is: 670,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,942.53 : 307,323.49 = 307,323.49 : x
  2. Step 2: Convert to fraction form
    140,942.53/307,323.49 = 307,323.49/x
  3. Step 3: Cross multiply
    140,942.53x = 307,323.49 × 307,323.49
  4. Step 4: Simplify right side
    140,942.53x = 94,447,728,850.32
  5. Step 5: Solve for x
    x = 94,447,728,850.32/140,942.53
  6. Step 6: Final answer
    x = 670,115.17

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Why These Related Problems?

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