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Finding the Third Proportional to 202,459.50 and 309,825

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Solution

The third proportional to 202,459.50 and 309,825 is: 474,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,459.50 : 309,825 = 309,825 : x
  2. Step 2: Convert to fraction form
    202,459.50/309,825 = 309,825/x
  3. Step 3: Cross multiply
    202,459.50x = 309,825 × 309,825
  4. Step 4: Simplify right side
    202,459.50x = 95,991,530,625
  5. Step 5: Solve for x
    x = 95,991,530,625/202,459.50
  6. Step 6: Final answer
    x = 474,127.08

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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.