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Finding the Third Proportional to 143,622 and 227,312

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Solution

The third proportional to 143,622 and 227,312 is: 359,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622 : 227,312 = 227,312 : x
  2. Step 2: Convert to fraction form
    143,622/227,312 = 227,312/x
  3. Step 3: Cross multiply
    143,622x = 227,312 × 227,312
  4. Step 4: Simplify right side
    143,622x = 51,670,745,344
  5. Step 5: Solve for x
    x = 51,670,745,344/143,622
  6. Step 6: Final answer
    x = 359,769.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.