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Finding the Third Proportional to 225,636.75 and 349,774.88

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Solution

The third proportional to 225,636.75 and 349,774.88 is: 542,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,636.75 : 349,774.88 = 349,774.88 : x
  2. Step 2: Convert to fraction form
    225,636.75/349,774.88 = 349,774.88/x
  3. Step 3: Cross multiply
    225,636.75x = 349,774.88 × 349,774.88
  4. Step 4: Simplify right side
    225,636.75x = 122,342,463,181.27
  5. Step 5: Solve for x
    x = 122,342,463,181.27/225,636.75
  6. Step 6: Final answer
    x = 542,209.83

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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.