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Finding the Third Proportional to 139,226 and 224,175

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Solution

The third proportional to 139,226 and 224,175 is: 360,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,226 : 224,175 = 224,175 : x
  2. Step 2: Convert to fraction form
    139,226/224,175 = 224,175/x
  3. Step 3: Cross multiply
    139,226x = 224,175 × 224,175
  4. Step 4: Simplify right side
    139,226x = 50,254,430,625
  5. Step 5: Solve for x
    x = 50,254,430,625/139,226
  6. Step 6: Final answer
    x = 360,955.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.