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Finding the Third Proportional to 243,201 and 363,825

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Solution

The third proportional to 243,201 and 363,825 is: 544,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,201 : 363,825 = 363,825 : x
  2. Step 2: Convert to fraction form
    243,201/363,825 = 363,825/x
  3. Step 3: Cross multiply
    243,201x = 363,825 × 363,825
  4. Step 4: Simplify right side
    243,201x = 132,368,630,625
  5. Step 5: Solve for x
    x = 132,368,630,625/243,201
  6. Step 6: Final answer
    x = 544,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.