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Finding the Third Proportional to 226,093.25 and 359,896.13

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Solution

The third proportional to 226,093.25 and 359,896.13 is: 572,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,093.25 : 359,896.13 = 359,896.13 : x
  2. Step 2: Convert to fraction form
    226,093.25/359,896.13 = 359,896.13/x
  3. Step 3: Cross multiply
    226,093.25x = 359,896.13 × 359,896.13
  4. Step 4: Simplify right side
    226,093.25x = 129,525,220,790.02
  5. Step 5: Solve for x
    x = 129,525,220,790.02/226,093.25
  6. Step 6: Final answer
    x = 572,884.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.