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Finding the Third Proportional to 140,138 and 215,391

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Solution

The third proportional to 140,138 and 215,391 is: 331,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138 : 215,391 = 215,391 : x
  2. Step 2: Convert to fraction form
    140,138/215,391 = 215,391/x
  3. Step 3: Cross multiply
    140,138x = 215,391 × 215,391
  4. Step 4: Simplify right side
    140,138x = 46,393,282,881
  5. Step 5: Solve for x
    x = 46,393,282,881/140,138
  6. Step 6: Final answer
    x = 331,054.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.