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Finding the Third Proportional to 141,969 and 302,889

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Solution

The third proportional to 141,969 and 302,889 is: 646,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,969 : 302,889 = 302,889 : x
  2. Step 2: Convert to fraction form
    141,969/302,889 = 302,889/x
  3. Step 3: Cross multiply
    141,969x = 302,889 × 302,889
  4. Step 4: Simplify right side
    141,969x = 91,741,746,321
  5. Step 5: Solve for x
    x = 91,741,746,321/141,969
  6. Step 6: Final answer
    x = 646,209.71

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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.