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Finding the Third Proportional to 182,144.64 and 238,143.80

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Solution

The third proportional to 182,144.64 and 238,143.80 is: 311,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,144.64 : 238,143.80 = 238,143.80 : x
  2. Step 2: Convert to fraction form
    182,144.64/238,143.80 = 238,143.80/x
  3. Step 3: Cross multiply
    182,144.64x = 238,143.80 × 238,143.80
  4. Step 4: Simplify right side
    182,144.64x = 56,712,467,990.04
  5. Step 5: Solve for x
    x = 56,712,467,990.04/182,144.64
  6. Step 6: Final answer
    x = 311,359.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.