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Finding the Third Proportional to 243,586 and 365,379

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Solution

The third proportional to 243,586 and 365,379 is: 548,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,586 : 365,379 = 365,379 : x
  2. Step 2: Convert to fraction form
    243,586/365,379 = 365,379/x
  3. Step 3: Cross multiply
    243,586x = 365,379 × 365,379
  4. Step 4: Simplify right side
    243,586x = 133,501,813,641
  5. Step 5: Solve for x
    x = 133,501,813,641/243,586
  6. Step 6: Final answer
    x = 548,068.50

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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.