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Finding the Third Proportional to 141,145 and 302,757

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Solution

The third proportional to 141,145 and 302,757 is: 649,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,145 : 302,757 = 302,757 : x
  2. Step 2: Convert to fraction form
    141,145/302,757 = 302,757/x
  3. Step 3: Cross multiply
    141,145x = 302,757 × 302,757
  4. Step 4: Simplify right side
    141,145x = 91,661,801,049
  5. Step 5: Solve for x
    x = 91,661,801,049/141,145
  6. Step 6: Final answer
    x = 649,415.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.