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Finding the Third Proportional to 139,110 and 299,814

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Solution

The third proportional to 139,110 and 299,814 is: 646,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,110 : 299,814 = 299,814 : x
  2. Step 2: Convert to fraction form
    139,110/299,814 = 299,814/x
  3. Step 3: Cross multiply
    139,110x = 299,814 × 299,814
  4. Step 4: Simplify right side
    139,110x = 89,888,434,596
  5. Step 5: Solve for x
    x = 89,888,434,596/139,110
  6. Step 6: Final answer
    x = 646,168.03

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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.