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Finding the Third Proportional to 211,207.50 and 324,202.50

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Solution

The third proportional to 211,207.50 and 324,202.50 is: 497,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,207.50 : 324,202.50 = 324,202.50 : x
  2. Step 2: Convert to fraction form
    211,207.50/324,202.50 = 324,202.50/x
  3. Step 3: Cross multiply
    211,207.50x = 324,202.50 × 324,202.50
  4. Step 4: Simplify right side
    211,207.50x = 105,107,261,006.25
  5. Step 5: Solve for x
    x = 105,107,261,006.25/211,207.50
  6. Step 6: Final answer
    x = 497,649.28

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