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Finding the Third Proportional to 141,993 and 302,931

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Solution

The third proportional to 141,993 and 302,931 is: 646,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,993 : 302,931 = 302,931 : x
  2. Step 2: Convert to fraction form
    141,993/302,931 = 302,931/x
  3. Step 3: Cross multiply
    141,993x = 302,931 × 302,931
  4. Step 4: Simplify right side
    141,993x = 91,767,190,761
  5. Step 5: Solve for x
    x = 91,767,190,761/141,993
  6. Step 6: Final answer
    x = 646,279.68

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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.