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Finding the Third Proportional to 228,355.50 and 324,567.75

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Solution

The third proportional to 228,355.50 and 324,567.75 is: 461,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,355.50 : 324,567.75 = 324,567.75 : x
  2. Step 2: Convert to fraction form
    228,355.50/324,567.75 = 324,567.75/x
  3. Step 3: Cross multiply
    228,355.50x = 324,567.75 × 324,567.75
  4. Step 4: Simplify right side
    228,355.50x = 105,344,224,340.06
  5. Step 5: Solve for x
    x = 105,344,224,340.06/228,355.50
  6. Step 6: Final answer
    x = 461,316.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.