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Finding the Third Proportional to 140,085 and 299,853

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Solution

The third proportional to 140,085 and 299,853 is: 641,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,085 : 299,853 = 299,853 : x
  2. Step 2: Convert to fraction form
    140,085/299,853 = 299,853/x
  3. Step 3: Cross multiply
    140,085x = 299,853 × 299,853
  4. Step 4: Simplify right side
    140,085x = 89,911,821,609
  5. Step 5: Solve for x
    x = 89,911,821,609/140,085
  6. Step 6: Final answer
    x = 641,837.61

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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.