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Finding the Third Proportional to 139,829 and 302,986

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Solution

The third proportional to 139,829 and 302,986 is: 656,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,829 : 302,986 = 302,986 : x
  2. Step 2: Convert to fraction form
    139,829/302,986 = 302,986/x
  3. Step 3: Cross multiply
    139,829x = 302,986 × 302,986
  4. Step 4: Simplify right side
    139,829x = 91,800,516,196
  5. Step 5: Solve for x
    x = 91,800,516,196/139,829
  6. Step 6: Final answer
    x = 656,519.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.