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Finding the Third Proportional to 228,784.50 and 349,980.75

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Solution

The third proportional to 228,784.50 and 349,980.75 is: 535,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,784.50 : 349,980.75 = 349,980.75 : x
  2. Step 2: Convert to fraction form
    228,784.50/349,980.75 = 349,980.75/x
  3. Step 3: Cross multiply
    228,784.50x = 349,980.75 × 349,980.75
  4. Step 4: Simplify right side
    228,784.50x = 122,486,525,370.56
  5. Step 5: Solve for x
    x = 122,486,525,370.56/228,784.50
  6. Step 6: Final answer
    x = 535,379.47

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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.