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Finding the Third Proportional to 139,064 and 302,914

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Solution

The third proportional to 139,064 and 302,914 is: 659,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,064 : 302,914 = 302,914 : x
  2. Step 2: Convert to fraction form
    139,064/302,914 = 302,914/x
  3. Step 3: Cross multiply
    139,064x = 302,914 × 302,914
  4. Step 4: Simplify right side
    139,064x = 91,756,891,396
  5. Step 5: Solve for x
    x = 91,756,891,396/139,064
  6. Step 6: Final answer
    x = 659,817.72

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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.