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Finding the Third Proportional to 140,013 and 307,240.50

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Solution

The third proportional to 140,013 and 307,240.50 is: 674,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,013 : 307,240.50 = 307,240.50 : x
  2. Step 2: Convert to fraction form
    140,013/307,240.50 = 307,240.50/x
  3. Step 3: Cross multiply
    140,013x = 307,240.50 × 307,240.50
  4. Step 4: Simplify right side
    140,013x = 94,396,724,840.25
  5. Step 5: Solve for x
    x = 94,396,724,840.25/140,013
  6. Step 6: Final answer
    x = 674,199.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.