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Finding the Third Proportional to 140,013 and 307,240

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Solution

The third proportional to 140,013 and 307,240 is: 674,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,013 : 307,240 = 307,240 : x
  2. Step 2: Convert to fraction form
    140,013/307,240 = 307,240/x
  3. Step 3: Cross multiply
    140,013x = 307,240 × 307,240
  4. Step 4: Simplify right side
    140,013x = 94,396,417,600
  5. Step 5: Solve for x
    x = 94,396,417,600/140,013
  6. Step 6: Final answer
    x = 674,197.52

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Why These Related Problems?

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