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Finding the Third Proportional to 157,016.81 and 224,270.44

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Solution

The third proportional to 157,016.81 and 224,270.44 is: 320,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,016.81 : 224,270.44 = 224,270.44 : x
  2. Step 2: Convert to fraction form
    157,016.81/224,270.44 = 224,270.44/x
  3. Step 3: Cross multiply
    157,016.81x = 224,270.44 × 224,270.44
  4. Step 4: Simplify right side
    157,016.81x = 50,297,229,136.44
  5. Step 5: Solve for x
    x = 50,297,229,136.44/157,016.81
  6. Step 6: Final answer
    x = 320,330.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.