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Finding the Third Proportional to 288,165 and 463,000.50

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Solution

The third proportional to 288,165 and 463,000.50 is: 743,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,165 : 463,000.50 = 463,000.50 : x
  2. Step 2: Convert to fraction form
    288,165/463,000.50 = 463,000.50/x
  3. Step 3: Cross multiply
    288,165x = 463,000.50 × 463,000.50
  4. Step 4: Simplify right side
    288,165x = 214,369,463,000.25
  5. Step 5: Solve for x
    x = 214,369,463,000.25/288,165
  6. Step 6: Final answer
    x = 743,912.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.