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Finding the Third Proportional to 243,650.25 and 365,475.38

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Solution

The third proportional to 243,650.25 and 365,475.38 is: 548,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,650.25 : 365,475.38 = 365,475.38 : x
  2. Step 2: Convert to fraction form
    243,650.25/365,475.38 = 365,475.38/x
  3. Step 3: Cross multiply
    243,650.25x = 365,475.38 × 365,475.38
  4. Step 4: Simplify right side
    243,650.25x = 133,572,249,731.39
  5. Step 5: Solve for x
    x = 133,572,249,731.39/243,650.25
  6. Step 6: Final answer
    x = 548,213.06

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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.