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Finding the Third Proportional to 139,112 and 299,818

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Solution

The third proportional to 139,112 and 299,818 is: 646,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,112 : 299,818 = 299,818 : x
  2. Step 2: Convert to fraction form
    139,112/299,818 = 299,818/x
  3. Step 3: Cross multiply
    139,112x = 299,818 × 299,818
  4. Step 4: Simplify right side
    139,112x = 89,890,833,124
  5. Step 5: Solve for x
    x = 89,890,833,124/139,112
  6. Step 6: Final answer
    x = 646,175.98

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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.