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Finding the Third Proportional to 226,092.94 and 359,895.75

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Solution

The third proportional to 226,092.94 and 359,895.75 is: 572,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,092.94 : 359,895.75 = 359,895.75 : x
  2. Step 2: Convert to fraction form
    226,092.94/359,895.75 = 359,895.75/x
  3. Step 3: Cross multiply
    226,092.94x = 359,895.75 × 359,895.75
  4. Step 4: Simplify right side
    226,092.94x = 129,524,950,868.06
  5. Step 5: Solve for x
    x = 129,524,950,868.06/226,092.94
  6. Step 6: Final answer
    x = 572,883.67

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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.