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Finding the Third Proportional to 150,896 and 226,362

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Solution

The third proportional to 150,896 and 226,362 is: 339,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,896 : 226,362 = 226,362 : x
  2. Step 2: Convert to fraction form
    150,896/226,362 = 226,362/x
  3. Step 3: Cross multiply
    150,896x = 226,362 × 226,362
  4. Step 4: Simplify right side
    150,896x = 51,239,755,044
  5. Step 5: Solve for x
    x = 51,239,755,044/150,896
  6. Step 6: Final answer
    x = 339,570.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.