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Finding the Third Proportional to 139,085 and 300,343

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Solution

The third proportional to 139,085 and 300,343 is: 648,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,085 : 300,343 = 300,343 : x
  2. Step 2: Convert to fraction form
    139,085/300,343 = 300,343/x
  3. Step 3: Cross multiply
    139,085x = 300,343 × 300,343
  4. Step 4: Simplify right side
    139,085x = 90,205,917,649
  5. Step 5: Solve for x
    x = 90,205,917,649/139,085
  6. Step 6: Final answer
    x = 648,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.