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Finding the Third Proportional to 226,048.50 and 352,734.75

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Solution

The third proportional to 226,048.50 and 352,734.75 is: 550,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048.50 : 352,734.75 = 352,734.75 : x
  2. Step 2: Convert to fraction form
    226,048.50/352,734.75 = 352,734.75/x
  3. Step 3: Cross multiply
    226,048.50x = 352,734.75 × 352,734.75
  4. Step 4: Simplify right side
    226,048.50x = 124,421,803,857.56
  5. Step 5: Solve for x
    x = 124,421,803,857.56/226,048.50
  6. Step 6: Final answer
    x = 550,420.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.