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Finding the Third Proportional to 225,101.53 and 343,369.13

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Solution

The third proportional to 225,101.53 and 343,369.13 is: 523,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,101.53 : 343,369.13 = 343,369.13 : x
  2. Step 2: Convert to fraction form
    225,101.53/343,369.13 = 343,369.13/x
  3. Step 3: Cross multiply
    225,101.53x = 343,369.13 × 343,369.13
  4. Step 4: Simplify right side
    225,101.53x = 117,902,356,003.27
  5. Step 5: Solve for x
    x = 117,902,356,003.27/225,101.53
  6. Step 6: Final answer
    x = 523,774.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.