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Finding the Third Proportional to 141,636 and 302,223

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Solution

The third proportional to 141,636 and 302,223 is: 644,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,636 : 302,223 = 302,223 : x
  2. Step 2: Convert to fraction form
    141,636/302,223 = 302,223/x
  3. Step 3: Cross multiply
    141,636x = 302,223 × 302,223
  4. Step 4: Simplify right side
    141,636x = 91,338,741,729
  5. Step 5: Solve for x
    x = 91,338,741,729/141,636
  6. Step 6: Final answer
    x = 644,883.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.