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Finding the Third Proportional to 139,564.50 and 302,529

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Solution

The third proportional to 139,564.50 and 302,529 is: 655,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,564.50 : 302,529 = 302,529 : x
  2. Step 2: Convert to fraction form
    139,564.50/302,529 = 302,529/x
  3. Step 3: Cross multiply
    139,564.50x = 302,529 × 302,529
  4. Step 4: Simplify right side
    139,564.50x = 91,523,795,841
  5. Step 5: Solve for x
    x = 91,523,795,841/139,564.50
  6. Step 6: Final answer
    x = 655,781.35

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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.