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Finding the Third Proportional to 226,081.13 and 349,744.50

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Solution

The third proportional to 226,081.13 and 349,744.50 is: 541,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,081.13 : 349,744.50 = 349,744.50 : x
  2. Step 2: Convert to fraction form
    226,081.13/349,744.50 = 349,744.50/x
  3. Step 3: Cross multiply
    226,081.13x = 349,744.50 × 349,744.50
  4. Step 4: Simplify right side
    226,081.13x = 122,321,215,280.25
  5. Step 5: Solve for x
    x = 122,321,215,280.25/226,081.13
  6. Step 6: Final answer
    x = 541,050.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.