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Finding the Third Proportional to 159,821.44 and 248,136.19

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Solution

The third proportional to 159,821.44 and 248,136.19 is: 385,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,821.44 : 248,136.19 = 248,136.19 : x
  2. Step 2: Convert to fraction form
    159,821.44/248,136.19 = 248,136.19/x
  3. Step 3: Cross multiply
    159,821.44x = 248,136.19 × 248,136.19
  4. Step 4: Simplify right side
    159,821.44x = 61,571,567,547.04
  5. Step 5: Solve for x
    x = 61,571,567,547.04/159,821.44
  6. Step 6: Final answer
    x = 385,252.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.