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Finding the Third Proportional to 138,800 and 301,383.50

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Solution

The third proportional to 138,800 and 301,383.50 is: 654,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,800 : 301,383.50 = 301,383.50 : x
  2. Step 2: Convert to fraction form
    138,800/301,383.50 = 301,383.50/x
  3. Step 3: Cross multiply
    138,800x = 301,383.50 × 301,383.50
  4. Step 4: Simplify right side
    138,800x = 90,832,014,072.25
  5. Step 5: Solve for x
    x = 90,832,014,072.25/138,800
  6. Step 6: Final answer
    x = 654,409.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.