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Finding the Third Proportional to 140,960 and 202,608

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Solution

The third proportional to 140,960 and 202,608 is: 291,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,960 : 202,608 = 202,608 : x
  2. Step 2: Convert to fraction form
    140,960/202,608 = 202,608/x
  3. Step 3: Cross multiply
    140,960x = 202,608 × 202,608
  4. Step 4: Simplify right side
    140,960x = 41,050,001,664
  5. Step 5: Solve for x
    x = 41,050,001,664/140,960
  6. Step 6: Final answer
    x = 291,217.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.