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Finding the Third Proportional to 111,025 and 240,770

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Solution

The third proportional to 111,025 and 240,770 is: 522,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,025 : 240,770 = 240,770 : x
  2. Step 2: Convert to fraction form
    111,025/240,770 = 240,770/x
  3. Step 3: Cross multiply
    111,025x = 240,770 × 240,770
  4. Step 4: Simplify right side
    111,025x = 57,970,192,900
  5. Step 5: Solve for x
    x = 57,970,192,900/111,025
  6. Step 6: Final answer
    x = 522,136.39

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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.