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Finding the Third Proportional to 139,567 and 302,533

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Solution

The third proportional to 139,567 and 302,533 is: 655,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,567 : 302,533 = 302,533 : x
  2. Step 2: Convert to fraction form
    139,567/302,533 = 302,533/x
  3. Step 3: Cross multiply
    139,567x = 302,533 × 302,533
  4. Step 4: Simplify right side
    139,567x = 91,526,216,089
  5. Step 5: Solve for x
    x = 91,526,216,089/139,567
  6. Step 6: Final answer
    x = 655,786.94

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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.