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Finding the Third Proportional to 139,007 and 303,502

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Solution

The third proportional to 139,007 and 303,502 is: 662,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,007 : 303,502 = 303,502 : x
  2. Step 2: Convert to fraction form
    139,007/303,502 = 303,502/x
  3. Step 3: Cross multiply
    139,007x = 303,502 × 303,502
  4. Step 4: Simplify right side
    139,007x = 92,113,464,004
  5. Step 5: Solve for x
    x = 92,113,464,004/139,007
  6. Step 6: Final answer
    x = 662,653.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.