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Finding the Third Proportional to 139,892 and 302,120

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Solution

The third proportional to 139,892 and 302,120 is: 652,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,892 : 302,120 = 302,120 : x
  2. Step 2: Convert to fraction form
    139,892/302,120 = 302,120/x
  3. Step 3: Cross multiply
    139,892x = 302,120 × 302,120
  4. Step 4: Simplify right side
    139,892x = 91,276,494,400
  5. Step 5: Solve for x
    x = 91,276,494,400/139,892
  6. Step 6: Final answer
    x = 652,478.30

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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.