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Finding the Third Proportional to 139,066 and 323,517

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Solution

The third proportional to 139,066 and 323,517 is: 752,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,066 : 323,517 = 323,517 : x
  2. Step 2: Convert to fraction form
    139,066/323,517 = 323,517/x
  3. Step 3: Cross multiply
    139,066x = 323,517 × 323,517
  4. Step 4: Simplify right side
    139,066x = 104,663,249,289
  5. Step 5: Solve for x
    x = 104,663,249,289/139,066
  6. Step 6: Final answer
    x = 752,615.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.