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Finding the Third Proportional to 141,994 and 302,934

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Solution

The third proportional to 141,994 and 302,934 is: 646,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,994 : 302,934 = 302,934 : x
  2. Step 2: Convert to fraction form
    141,994/302,934 = 302,934/x
  3. Step 3: Cross multiply
    141,994x = 302,934 × 302,934
  4. Step 4: Simplify right side
    141,994x = 91,769,008,356
  5. Step 5: Solve for x
    x = 91,769,008,356/141,994
  6. Step 6: Final answer
    x = 646,287.93

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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.