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Finding the Third Proportional to 143,660 and 226,582

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Solution

The third proportional to 143,660 and 226,582 is: 357,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,660 : 226,582 = 226,582 : x
  2. Step 2: Convert to fraction form
    143,660/226,582 = 226,582/x
  3. Step 3: Cross multiply
    143,660x = 226,582 × 226,582
  4. Step 4: Simplify right side
    143,660x = 51,339,402,724
  5. Step 5: Solve for x
    x = 51,339,402,724/143,660
  6. Step 6: Final answer
    x = 357,367.41

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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.