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Finding the Third Proportional to 153,367.50 and 327,609

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Solution

The third proportional to 153,367.50 and 327,609 is: 699,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,367.50 : 327,609 = 327,609 : x
  2. Step 2: Convert to fraction form
    153,367.50/327,609 = 327,609/x
  3. Step 3: Cross multiply
    153,367.50x = 327,609 × 327,609
  4. Step 4: Simplify right side
    153,367.50x = 107,327,656,881
  5. Step 5: Solve for x
    x = 107,327,656,881/153,367.50
  6. Step 6: Final answer
    x = 699,807.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.