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Finding the Third Proportional to 243,654 and 365,481

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Solution

The third proportional to 243,654 and 365,481 is: 548,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,654 : 365,481 = 365,481 : x
  2. Step 2: Convert to fraction form
    243,654/365,481 = 365,481/x
  3. Step 3: Cross multiply
    243,654x = 365,481 × 365,481
  4. Step 4: Simplify right side
    243,654x = 133,576,361,361
  5. Step 5: Solve for x
    x = 133,576,361,361/243,654
  6. Step 6: Final answer
    x = 548,221.50

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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.