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Finding the Third Proportional to 141,369 and 302,349

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Solution

The third proportional to 141,369 and 302,349 is: 646,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,369 : 302,349 = 302,349 : x
  2. Step 2: Convert to fraction form
    141,369/302,349 = 302,349/x
  3. Step 3: Cross multiply
    141,369x = 302,349 × 302,349
  4. Step 4: Simplify right side
    141,369x = 91,414,917,801
  5. Step 5: Solve for x
    x = 91,414,917,801/141,369
  6. Step 6: Final answer
    x = 646,640.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.