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Finding the Third Proportional to 137,600 and 301,116

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Solution

The third proportional to 137,600 and 301,116 is: 658,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600 : 301,116 = 301,116 : x
  2. Step 2: Convert to fraction form
    137,600/301,116 = 301,116/x
  3. Step 3: Cross multiply
    137,600x = 301,116 × 301,116
  4. Step 4: Simplify right side
    137,600x = 90,670,845,456
  5. Step 5: Solve for x
    x = 90,670,845,456/137,600
  6. Step 6: Final answer
    x = 658,945.10

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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.