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Finding the Third Proportional to 141,844 and 307,309

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Solution

The third proportional to 141,844 and 307,309 is: 665,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,844 : 307,309 = 307,309 : x
  2. Step 2: Convert to fraction form
    141,844/307,309 = 307,309/x
  3. Step 3: Cross multiply
    141,844x = 307,309 × 307,309
  4. Step 4: Simplify right side
    141,844x = 94,438,821,481
  5. Step 5: Solve for x
    x = 94,438,821,481/141,844
  6. Step 6: Final answer
    x = 665,793.56

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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.