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Finding the Third Proportional to 243,666 and 365,499

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Solution

The third proportional to 243,666 and 365,499 is: 548,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,666 : 365,499 = 365,499 : x
  2. Step 2: Convert to fraction form
    243,666/365,499 = 365,499/x
  3. Step 3: Cross multiply
    243,666x = 365,499 × 365,499
  4. Step 4: Simplify right side
    243,666x = 133,589,519,001
  5. Step 5: Solve for x
    x = 133,589,519,001/243,666
  6. Step 6: Final answer
    x = 548,248.50

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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.