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Finding the Third Proportional to 141,351 and 307,242

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Solution

The third proportional to 141,351 and 307,242 is: 667,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,351 : 307,242 = 307,242 : x
  2. Step 2: Convert to fraction form
    141,351/307,242 = 307,242/x
  3. Step 3: Cross multiply
    141,351x = 307,242 × 307,242
  4. Step 4: Simplify right side
    141,351x = 94,397,646,564
  5. Step 5: Solve for x
    x = 94,397,646,564/141,351
  6. Step 6: Final answer
    x = 667,824.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.