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Finding the Third Proportional to 243,199.97 and 365,578.31

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Solution

The third proportional to 243,199.97 and 365,578.31 is: 549,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,199.97 : 365,578.31 = 365,578.31 : x
  2. Step 2: Convert to fraction form
    243,199.97/365,578.31 = 365,578.31/x
  3. Step 3: Cross multiply
    243,199.97x = 365,578.31 × 365,578.31
  4. Step 4: Simplify right side
    243,199.97x = 133,647,502,570.35
  5. Step 5: Solve for x
    x = 133,647,502,570.35/243,199.97
  6. Step 6: Final answer
    x = 549,537.50

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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.