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Finding the Third Proportional to 243,663 and 365,496

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Solution

The third proportional to 243,663 and 365,496 is: 548,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,663 : 365,496 = 365,496 : x
  2. Step 2: Convert to fraction form
    243,663/365,496 = 365,496/x
  3. Step 3: Cross multiply
    243,663x = 365,496 × 365,496
  4. Step 4: Simplify right side
    243,663x = 133,587,326,016
  5. Step 5: Solve for x
    x = 133,587,326,016/243,663
  6. Step 6: Final answer
    x = 548,246.25

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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.