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Finding the Third Proportional to 139,133 and 300,499

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Solution

The third proportional to 139,133 and 300,499 is: 649,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,133 : 300,499 = 300,499 : x
  2. Step 2: Convert to fraction form
    139,133/300,499 = 300,499/x
  3. Step 3: Cross multiply
    139,133x = 300,499 × 300,499
  4. Step 4: Simplify right side
    139,133x = 90,299,649,001
  5. Step 5: Solve for x
    x = 90,299,649,001/139,133
  6. Step 6: Final answer
    x = 649,016.76

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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.